MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C957DC.B0244B40" This document is a Web archive file. If you are seeing this message, this means your browser or editor doesn't support Web archive files. For more information on the Web archive format, go to http://officeupdate.microsoft.com/office/webarchive.htm ------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences

This presentation contains content that your browser may not be able to = show properly. This presentation was optimized for more recent versions of Micro= soft Internet Explorer.

If you would like to proceed anyway, click here.

 ------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/master06.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii"
Click to edit Master title style
Clic= k to edit Master text styles
Sec= ond level
Thi= rd level
Fou= rth level
Fif= th level
‹date/time›
‹footer›
‹#›
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/master06.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/preview.wmf Content-Transfer-Encoding: base64 Content-Type: image/x-wmf AQAJAAADxQAAAAYAHAAAAAAABAAAAAMBCAAFAAAACwIAAAAABQAAAAwC7wLpAwMAAAAeAAcAAAD8 AgAA////AAAABAAAAC0BAAAIAAAA+gIFAAAAAAD///8ABAAAAC0BAQAMAAAAQAkhAPAAAAAAAAAA 7wLpA/////8IAAAA+gIAAAAAAAAAAAAABAAAAC0BAgAHAAAA/AIAAP///wAAAAQAAAAtAQMABAAA ACcB//8cAAAA+wLU/wAAAAAAAJABAAAAAABAACJBcmlhbAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAQAAAAtAQQABAAAAC4BGAAEAAAAAgEBAAUAAAAJAgAAAAIVAAAAMgowAGgBCQAAAFNlcXVl bmNlcwAdABgAGgAYABkAGAAXABgAFgAEAAAALgEAABwAAAD7AhAABwAAAAAAvAIAAAAAAQICIlN5 c3RlbQAAAAAAABgAAAAsnhMAAgAAAOQEAAAAAAAABAAAAC0BBQAEAAAA8AEEAAMAAAAAAA== ------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0077.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Sequences= <= /div>
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0078.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
A sequence is an ordered list of infinitely many numbers that may or may not have a pattern.
 
Sequences= <= /div>
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0079.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
A sequence is an ordered list of infinitely many numbers that may or may not have a pattern.
 
Sequences= <= /div>
Example A:
1, 3, 5, 7, 9,= 230; is the sequence of odd numbers.
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0080.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
A sequence is an ordered list of infinitely many numbers that may or may not have a pattern.
 
Sequences= <= /div>
Example A:
1, 3, 5, 7, 9,= 230; is the sequence of odd numbers.
1, 4, 9, 16, 25,… is the sequence of square numbers.
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0081.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
A sequence is an ordered list of infinitely many numbers that may or may not have a pattern.
 
Sequences= <= /div>
Example A:
1, 3, 5, 7, 9,= 230; is the sequence of odd numbers.
1, 4, 9, 16, 25,… is the sequence of square numbers.
5, -2, p, e, -110, …is a sequence without an obvious pattern. <= /span>
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0082.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
A sequence is an ordered list of infinitely many numbers that may or may not have a pattern.
 
Def= inition: A sequence is the list of outputs f(n) of a function f where n =3D 1, 2, 3,= 4, ….. We write f(n) as fn.
Sequences= <= /div>
Example A:
1, 3, 5, 7, 9,= 230; is the sequence of odd numbers.
1, 4, 9, 16, 25,… is the sequence of square numbers.
5, -2, p, e, -110, …is a sequence without an obvious pattern. <= /span>
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0083.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
A sequence is an ordered list of infinitely many numbers that may or may not have a pattern.
 
Def= inition: A sequence is the list of outputs f(n) of a function f where n =3D 1, 2, 3,= 4, ….. We write f(n) as fn.
Sequences= <= /div>
Example A:
1, 3, 5, 7, 9,= 230; is the sequence of odd numbers.
1, 4, 9, 16, 25,… is the sequence of square numbers.
5, -2, p, e, -110, …is a sequence without an obvious pattern. <= /span>
A sequence may be listed = as f1, f2 , f3 , …
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0084.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
A sequence is an ordered list of infinitely many numbers that may or may not have a pattern.
 
Def= inition: A sequence is the list of outputs f(n) of a function f where n =3D 1, 2, 3,= 4, ….. We write f(n) as fn.
Sequences= <= /div>
Example A:
1, 3, 5, 7, 9,= 230; is the sequence of odd numbers.
1, 4, 9, 16, 25,… is the sequence of square numbers.
5, -2, p, e, -110, …is a sequence without an obvious pattern. <= /span>
A sequence may be listed as f1, f2 , f3 , …
f100 =3D= 100th number on the list, <= /span>
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0085.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
A sequence is an ordered list of infinitely many numbers that may or may not have a pattern.
 
Def= inition: A sequence is the list of outputs f(n) of a function f where n =3D 1, 2, 3,= 4, ….. We write f(n) as fn.
Sequences= <= /div>
Example A:
1, 3, 5, 7, 9,= 230; is the sequence of odd numbers.
1, 4, 9, 16, 25,… is the sequence of square numbers.
5, -2, p, e, -110, …is a sequence without an obvious pattern. <= /span>
A sequence may be listed as f1, f2 , f3 , …
f100 =3D= 100th number on the list, &= #13;
fn =3D the n’th number on the l= ist,
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0086.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
A sequence is an ordered list of infinitely many numbers that may or may not have a pattern.
 
Def= inition: A sequence is the list of outputs f(n) of a function f where n =3D 1, 2, 3,= 4, ….. We write f(n) as fn.
Sequences= <= /div>
Example A:
1, 3, 5, 7, 9,= 230; is the sequence of odd numbers.
1, 4, 9, 16, 25,… is the sequence of square numbers.
5, -2, p, e, -110, …is a sequence without an obvious pattern. <= /span>
A sequence may be listed as f1, f2 , f3 , …
f100 =3D= 100th number on the list, &= #13;
fn =3D the n’th number on the list,
fn-1 =3D= the (n – 1)’th number on the list or the number before fn.
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0087.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example B: <= /span>
a. For the sequen= ce of square numbers 1, 4, 9, 16, …       
    f3 =3D 9,  = f4=3D 16,  f5 =3D 25,
Sequences= <= /div>
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0088.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example B: <= /span>
a. For the sequen= ce of square numbers 1, 4, 9, 16, …       
    f3 =3D 9,  = f4=3D 16,  f5 =3D 25,
    and a formula for fn = is fn =3D n.
Sequences= <= /div>
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0089.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example B:
a. For the sequen= ce of square numbers 1, 4, 9, 16, …       
    f3 =3D 9,  = f4=3D 16,  f5 =3D 25,
    and a formula for fn = is fn =3D n.
=
b. For the sequen= ce of even numbers 2, 4, 6, 8, …       
    f3=3D 6,  = f4 = =3D 8,  f5 = =3D 10,
Sequences= <= /div>
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0090.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example B: <= /span>
a. For the sequen= ce of square numbers 1, 4, 9, 16, …       
    f3 =3D 9,  = f4=3D 16,  f5 =3D 25,
    and a formula for fn = is fn =3D n.
=
b. For the sequen= ce of even numbers 2, 4, 6, 8, …       
    f3=3D 6,  = f4 = =3D 8,  f5 = =3D 10,
    and a formula for fn is f =3D 2*n 
Sequences= <= /div>
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0091.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example B: <= /span>
a. For the sequen= ce of square numbers 1, 4, 9, 16, …       
    f3 =3D 9,  = f4=3D 16,  f5 =3D 25,
    and a formula for fn = is fn =3D n.
=
b. For the sequen= ce of even numbers 2, 4, 6, 8, …       
    f3=3D 6,  = f4 = =3D 8,  f5 = =3D 10,
    and a formula for fn is f =3D 2*n 
Sequences= <= /div>
c. For the sequen= ce of odd numbers 1, 3, 5, …
    a general formula is = fn=3D 2n – 1.
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0092.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example B: <= /span>
a. For the sequen= ce of square numbers 1, 4, 9, 16, …       
    f3 =3D 9,  = f4=3D 16,  f5 =3D 25,
    and a formula for fn = is fn =3D n.
=
b. For the sequen= ce of even numbers 2, 4, 6, 8, …       
    f3=3D 6,  = f4 = =3D 8,  f5 = =3D 10,
    and a formula for fn is f =3D 2*n 
Sequences= <= /div>
c. For the sequen= ce of odd numbers 1, 3, 5, …
    a general formula is = fn=3D 2n – 1.
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0093.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example B: <= /span>
a. For the sequen= ce of square numbers 1, 4, 9, 16, …       
    f3 =3D 9,  = f4=3D 16,  f5 =3D 25,
    and a formula for fn = is fn =3D n.
=
b. For the sequen= ce of even numbers 2, 4, 6, 8, …       
    f3=3D 6,  = f4 = =3D 8,  f5 = =3D 10,
    and a formula for fn is f =3D 2*n 
Sequences= <= /div>
c. For the sequen= ce of odd numbers 1, 3, 5, …
    a general formula is = fn=3D 2n – 1.
=
d. For the sequen= ce of odd numbers with alternating &nbs= p;
    signs -1, 3, -5, 7, -= 9, …fn =3D (-1)n(2n – 1)
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0094.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example B: <= /span>
a. For the sequen= ce of square numbers 1, 4, 9, 16, …       
    f3 =3D 9,  = f4=3D 16,  f5 =3D 25,
    and a formula for fn = is fn =3D n.
=
b. For the sequen= ce of even numbers 2, 4, 6, 8, …       
    f3=3D 6,  = f4 = =3D 8,  f5 = =3D 10,
    and a formula for fn is f =3D 2*n 
Sequences= <= /div>
c. For the sequen= ce of odd numbers 1, 3, 5, …
    a general formula is = fn=3D 2n – 1.
=
d. For the sequen= ce of odd numbers with alternating &nbs= p;
    signs -1, 3, -5, 7, -= 9, …fn =3D (-1)n(2n – 1)
A sequence whose signs alternate is called an = alternating sequence as= in part d.
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0095.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Summation Notation
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0096.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
In mathematics, the Greek letter “S” (sigma) means
“to add”. 
Summation Notation
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0097.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
In mathematics, the Greek letter “S” (sigma) means
“to add”.  Hence, “Sx” means to add the x’s,
Summation Notation
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0098.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
In mathematics, the Greek letter “S” (sigma) means
“to add”.  Hence, “Sx” means to add the x’s,
“S(x*y)” means to add the x*y’s. 
Summation Notation
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0099.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
In mathematics, the Greek letter “S” (sigma) means
“to add”.  Hence, “Sx” means to add the x’s,
“S(x*y)” means to add the x*y’s.  (Of course= the x's and xy's have to be given in the context.)
Summation Notation
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0100.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Summation Notation
Given a list, let's say, = of 100 numbers, f1, f2, f= 3,.., f100,
In mathematics, the Greek letter “S” (sigma) means
“to add”.  Hence, “Sx” means to add the x’s,
“S(x*y)” means to add the x*y’s.  (Of course= the x's and xy's have to be given in the context.)
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0101.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Summation Notation
Giv= en a list, let's say, of 100 numbers, f1, f2, f= 3,.., f100, their sum f1 + f2 + f3 ... + f99 + f100 may= be written in the S- notation as:
S fk
k =3D 1
100
In mathematics, the Greek letter “S” (sigma) means
“to add”.  Hence, “Sx” means to add the x’s,
“S(x*y)” means to add the x*y’s.  (Of course= the x's and xy's have to be given in the context.)
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0102.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Summation Notation
Giv= en a list, let's say, of 100 numbers, f1, f2, f= 3,.., f100, their sum f1 + f2 + f3 ... + f99 + f100 may= be written in the S- notation as:
S fk 
k =3D 1
100
A variable which is called the
“index” variable, in this case k.
In mathematics, the Greek letter “S” (sigma) means
“to add”.  Hence, “Sx” means to add the x’s,
“S(x*y)” means to add the x*y’s.  (Of course= the x's and xy's have to be given in the context.)
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0103.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Summation Notation
Giv= en a list, let's say, of 100 numbers, f1, f2, f= 3,.., f100, their sum f1 + f2 + f3 ... + f99 + f100 may= be written in the S- notation as:
S fk  
k =3D 1
100
A variable which is called the
“index” variable, in this case k.
k begins with the bottom number
and counts up (runs) to the top number.
In mathematics, the Greek letter “S” (sigma) means
“to add”.  Hence, “Sx” means to add the x’s,
“S(x*y)” means to add the x*y’s.  (Of course= the x's and xy's have to be given in the context.)
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0104.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Summation Notation
Giv= en a list, let's say, of 100 numbers, f1, f2, f= 3,.., f100, their sum f1 + f2 + f3 ... + f99 + f100 may= be written in the S- notation as:
S fk 
k =3D 1
100
A variable which is called the
“index” variable, in this case k.
k begins with the bottom number
and counts up (runs) to the top number.
The beginning number
In mathematics, the Greek letter “S” (sigma) means
“to add”.  Hence, “Sx” means to add the x’s,
“S(x*y)” means to add the x*y’s.  (Of course= the x's and xy's have to be given in the context.)
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0105.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Summation Notation
Giv= en a list, let's say, of 100 numbers, f1, f2, f= 3,.., f100, their sum f1 + f2 + f3 ... + f99 + f100 may= be written in the S- notation as:
S fk 
k =3D 1
100
A variable which is called the
“index” variable, in this case k.
k begins with the bottom number
and counts up (runs) to the top number.
The beginning number
The ending number<= /div>
In mathematics, the Greek letter “S” (sigma) means
“to add”.  Hence, “Sx” means to add the x’s,
“S(x*y)” means to add the x*y’s.  (Of course= the x's and xy's have to be given in the context.)
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0106.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Summation Notation
Giv= en a list, let's say, of 100 numbers, f1, f2, f= 3,.., f100, their sum f1 + f2 + f3 ... + f99 + f100 may= be written in the S- notation as:
S fk =3D f1    = f2    = f3  …       f99    f100
k =3D 1
100
A variable which is called the
“index” variable, in this case k.
k begins with the bottom number
and counts up (runs) to the top number.
The beginning number
The ending number<= /div>
In mathematics, the Greek letter “S” (sigma) means
“to add”.  Hence, “Sx” means to add the x’s,
“S(x*y)” means to add the x*y’s.  (Of course= the x's and xy's have to be given in the context.)
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0107.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Summation Notation
Giv= en a list, let's say, of 100 numbers, f1, f2, f= 3,.., f100, their sum f1 + f2 + f3 ... + f99 + f100 may= be written in the S- notation as:
S fk =3D f1+ f2+ f3+ … + f99+ f= 100
k =3D 1
100
A variable which is called the
“index” variable, in this case k.
k begins with the bottom number
and counts up (runs) to the top number.
The beginning number
The ending number<= /div>
In mathematics, the Greek letter “S” (sigma) means
“to add”.  Hence, “Sx” means to add the x’s,
“S(x*y)” means to add the x*y’s.  (Of course= the x's and xy's have to be given in the context.)
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0108.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
S f=3D<= /div>
k=3D4=
8
S a=3D =
i=3D2=
5
S xyj =3D
j=3D6=
9
S a=3D =
j=3Dn=
n+3
Summation Notation
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0109.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example C:<= /span>
S f=3D f4+f5+f6+f7+ f
k=3D4=
8
S a=3D =
i=3D2=
5
S xyj =3D
j=3D6=
9
S a=3D =
j=3Dn=
n+3
Summation Notation
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0110.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example C:<= /span>
S f=3D f4+f5+f6+f7+ f
k=3D4=
8
S a=3D a2+a3+a4+a5
i=3D2=
5
S xyj =3D
j=3D6=
9
S a=3D =
j=3Dn=
n+3
Summation Notation
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0111.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example C:<= /span>
S f=3D f4+f5+f6+f7+ f
k=3D4=
8
S a=3D a2+a3+a4+a5
i=3D2=
5
S xyj =3D xy6+x7y+ xy8+x9y
j=3D6=
9
S a=3D =
j=3Dn=
n+3
Summation Notation
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0112.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example C:<= /span>
S f=3D f4+f5+f6+f7+ f
k=3D4=
8
S a=3D a2+a3+a4+a5
i=3D2=
5
S xyj =3D xy6+x7y+ xy8+x9y
j=3D6=
9
S a=3D an+an+1+an+2+an+3
j=3Dn=
n+3
Summation Notation
------=_NextPart_01C957DC.B0244B40 Content-Location: file:///C:/AE4BB24E/2SequencesandSummationNotation_files/slide0113.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Sequences
Example C:<= /span>
S f=3D f4+f5+f6+f7+ f
k=3D4=
8
S a=3D a2+a3+a4+a5
i=3D2=
5
S