# 8.1 Step by step solutions: 4 6 8 9 13 14

1. (a) What is a sequence?
(b) What does It mean to say that lim n -> infinity an = 8?
(c) Wat does it mean to to say that that lim n -> infinity an = infinity?

2. Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.)
{-6, 4, -8/3, 16/9, -32/27,…}

3. Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.)
{1, -1/5, 1/25, -1/125, 1/625, …}

4. Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.)
{2, 5, 8, 11, 14, …}

5. Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)
an = 4 – (0.3)^n
6. Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)
An = n^3/3n^3 +1