Find the limit of the sequence or determine that the limit does not exist. 15) a) an = 1+ 3n 3 3 b) an = c) an = 2(0.5)n d) an = (1.07)n Evaluate the geometric series or state that it diverges. 16) a) 1 +. + + . b) E (-1)n-1 4 c ) M : d) E 7 7n n=1 5n n=6 n= e) 1 + (-5) + (-5)2+ (-5)3+ (-5)4+... E 5 (2)n 3n n=3 Determine if the series converges or diverges. If the series converges, find its sum. 17) a) _ 2 b ) 1 1 M 8 (4n - 1)(4n + 3) Un + 1 Vn +2 c) E (n+1 - Vn) n=1 n=] n=1 d) 4 M n +5 n +6 n=1 n= n2 + 3n +2