1. Calculate the first 10 terms (starting with n = 1) of the sequence a1 = -2, a2 = 2, and, for n 23, an = an-1 - an-2 2. State whether the sequence converges or diverges? If the sequence converges, find its limit. 2 + - 3n' + 2n -4 2n2 + 2n+1 J 3. Does the series definitely diverge by the nth Term Test? If not, what can we conclude? - 8n* + 3n2 +5n-2 An4 - 2n' + n2 -n+3 4. Rewrite the geometric series using the sigma notation and calculate the value of the sum. 3 9 27 81 + - 5 25 125 625 5. Find all values of x for which the geometric series converges and find its sum. [(2x -3)k 6. Calculate the value of the partial sum for S4 and S5, find a formula for general partial sum Sn, and then find the limit of Sn as n approaches infinity. 1 _ 1 K+2 k+1 7. Use the Integral Test to determine whether the following series converges or diverges. Solving using other methods will not be credited. (a) k +1 ( b ) IM : Lok2 + 2 k+ 4 23 k 8. Use the Comparison Test or the Limit Comparison Test to determine whether the given series converges or diverges. Solving using other methods will not be credited. +2k -1 (b) s+ sink (Hints: -1