Pre-Calc quiz

Mth 163 Test Unit VI Name

1. Write the first five terms of the sequence. Assume that n begins with 1.

An = -8n+36

2. Simplify the ratio of factorials.

( )

[A] 2 [B] 56 [C] 40,320 [D] 28

3. Use sigma notation to write the sum 7+10+13+16+19+22

[A] ∑ ( ) [B] ∑ ( ) [C] ∑ ( ( ))

[D] ∑ ( ( ))

4. The average price of a loaf of bread n years after 1950 is approximated by the

sequence an = 0.05n + 0.14. Use the sequence to predict the price of a loaf of bread in

2004.

[A] $2.79 [B] $2.89 [C] $2.94 [D] $2.84

5. Determine whether the sequence is arithmetic. If it is, find the common difference.

,

6. Write the first five terms of the arithmetic sequence. Find the common difference

and the nth term as a function of n.

a1 = 2, ak+1 = ak – 4

7. Find the partial sum ∑ ( )

[A] 10,120 [B] 9913 [C] 455 [D] 9729

8. Determine whether the sequence is geometric. If so, find the common ratio.

-5,-15,-45,-135,…

9. Find the first five terms of the geometric sequence

a1 =2, r = -

10. Use the Binomial Theorem to expand (2x+y) 4