Write the first five terms of the sequence and determine

Question

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

A_n = -8n+36

2. Simplify the ratio of factorials.
8!/2!(8-2)!

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

3. Use sigma notation to write the sum 7+10+13+16+19+22
[A] ∑⁶_i=1(7 + 3i)  [B] ∑⁶_i=0 (7 + 3i) [C] ∑⁶_i=1 (7 + 3(i - 1))  [D] ∑⁵_i=1(7 + 3(i - 1))

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.

1/2, 5/4, 2, 11/4, 7/2

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, a_k+1= a_k - 4

7. Find the partial sum ∑⁴⁶_n=1 (9n + 4)

[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 = -1/3

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