MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C74862.449A0D50" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C74862.449A0D50 Content-Location: file:///C:/213799D5/sample-5.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Math 123c test

Math 123C  Samp= le Test 5

 

1.  Find 7P4, and= 9C4.  Show the work.

 

2.  Gi= ven an arithmetic sequence with r1 =3D -4, d =3D -2, find the specific formula for rn <= /sub>and r150.

 

3.  Given an arithmetic sequence with = r12 =3D -8, r19 =3D 13, find r1 the specifi= c formula for rn and r150.

 

4.  Given an geometric sequence with g1 =3D 9, r =3D 1/3, find the specific formula for gn and g7.

 

5.  Given an geometric sequence with g3<= /span> =3D 3/4, g6 =3D 48, find g1, = the specific formula for gn <= /sub>and g7.=

 

6.  Find the 112’th term of the arithmetic sequence, then find the sum of the first 112 terms of the sequen= ce: 3, 7, 11, 15, …

 

7.  Given the arithmetic sequence, = -7, -2, 3, 8, … find the n where an= =3D 403 then find the sum

     -7 – 2 + 3= + 8 + … + 403.

 

8.  Gind the geometric sequence 18, -1= 2,  8, …  find n where gn<= /sub>=3D -64/27 then find the sum

    18 – 12 + 8 R= 11; … – 64/27   <= /p>

9.  a.  Compute          =     b.  Compute

           =         

10. a. How many different 7-digit phone numbers are there = if the first number can’t be 0 or 1? 

 

b. How many different 7-digit phone numbers are there if the first number has = to be 0 or 1? 

 

11. a. How many different 5-person teams are possible from= a group of 12 men and 10 women.

 

b. How many different 5-person teams are possible from a group of 12 men and 10 women if we must have two men and three women in the te= am.

 

12. An ice cream shop has 12 different toppings, 36 different ice cream, and 8 different syrups. 

 

a.  We ne= ed 2 scoops of different ice cream, 1 topping, and 1 kind of syrup to make a sundae.  How many different su= ndaes are there?

 

b.  If we= need 3 scoops of different ice cream, 2 different types of toppings and 2 different kind of syrup for a sundae-grande? &n= bsp; How many different ones are possible? 

 

13. Find the  coefficient of the x10-term in the expansion of (2= x2 + 1)8

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