1. Calculate the rst 10 terms l{starting with n = 1) of the sequence :11 = 2,a2 = 2, andjor n 33, an = an_1 and 2. State whether the seguence converges or diverges? If the sequence converges, nd its 3 2 + 2 4 limit. 2 + '32" 2n + 2n +1 3. Does the series denitely diverge by the nth Term Test? If not, what can we conclude? i 3n4 +3r12 +5n'2 \"2.41?!\" 2n3 +la2 n+3 4. Rewrite the geometric series using the sigma notation and calculate the value of the sum. 3 9 2T 81 1+++.. 5 25 125 625 5. Find all values of I for which the geometric series converges and nd its sum. Ear3r i=0 6. Calculate the value of the partial sum for 54 and S 5, nd a formula for general partial sum Sn, and then nd the limit of 511 as n approaches innity. i[] M 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. s k+1 at b (3)2k2+2k+4 U E? 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. k2+2k l D\" 3+sinlc . . (a)ZS_k3k+3 (b) g 41:1 {Hll'ltSZ lsmxl)