3 2n' a. The general formula for the nth partial sum is Sn 2 . Your answer should be in terms of n. 00 Consider the series 2 n=0 b. The sum of a series is defined as the limit of the sequence of partial sums, which means i%=giso_)=l:l n=0 G. Select all the statements (there may be more than one correct answer): 'i' A. The series is a geometric series. "' B. The series converges. '_' C. The series is a p-series. 'i' D. The series is a telescoping series (i.e., it is like a collapsible telescope). 00 Let S = 2 an, be an infinite series such that S N = 6 %. 11:1 10 16 (a) What are the values of 2 an, and 2 an? 1121 n24 10 2 an = 13.21 16 (b) What is the value of a3? a3 = (c) Find a general formula for an. G1], = 00 (d) Find the sum 2 an. 1121 00 z: an = 13.21 00 Consider the series 2 4e _"'. 11:0 a. The general formula for the nth partial sum is Sn 2 . Your answer should be in terms of n. b. The sum of a series is defined as the limit of the sequence of partial sums, which means 00 Z4'\"=s( )= n=0 c. Select all true statements (there may be more than one correct answer): 'T' A. The series is a telescoping series (i.e.. it is like a collapsible telescope). 'T' B. The series is a geometric series. '7' C. The series converges. "' D. The series is a p-series