Find a formula for the general term an (not the partial sum) of each infinite series (with starting point of n = 1.) (a) 5 4 + 5 16 + 5 64 + 5 256 + an = 5 4n (b) 1 1 + 5 2 + 25 4 + 125 8 + an = ( 5 2)n−1 (c) 1 + 7 1 − 2 + 7 2 · 1 + 3 + 7 3 · 2 · 1 − 4 + 7 4 · 3 · 2 · 1 + an = (−1)n−1 n+7 n! (d) 8 12 + 1 + 3 22 + 1 + 8 32 + 1 + 3 42 + 1 + an = 15−(1)n−1 2(n2+1)

Determine the common ratio and find the next three terms of the geometric sequence. 649-14-02-00-00_files/i0100000, 649-14-02-00-00_files/i0100001, 2, a. 3; 649-14-02-00-00_files/i0100002, 649-14-02-00-00_files/i0100003, 649-14-02-00-00_files/i0100004. c. 649-14-02-00-00_files/i0100005; 649-14-02-00-00_files/i0100006, 649-14-02-00-00_files/i0100007, 649-14-02-00-00_files/i0100008. b. 3; 6, 18, 54 d. 649-14-02-00-00_files/i0100009. 6, 18, 54 select the best answer from the choices provided a b c d