1) Determine whether the geometric series is convergent or divergent. If convergent, find its sum. sum n=0 ^ infty 3^ n+1 (-2)^ n 2) Use the integral test to determine if the series is convergent or divergent. Show all conditions sum n=1 ^ infty e^ 1/n n^ 2 3) Explain why the integral test cannot be used to determine whether the series is convergent. State all reasons. sum n=1 ^ infty (-1)^ n e^ -n 4) Use the Comparison or the Limit Comparison Test to determine if the series is convergent or divergent. sum n=1 ^ infty n(n+1) sqrt n^ 3 +2n^ 2 5) Rewrite the series to show that it is an alternating series of the form Sigma n=1 ^ infty (-1)^ n b n . Then, use the Alternating Series Test to show if the series converges or diverges. sum n=1 ^ infty n cos n pi 2^ n