The powers of a function f: A → A are defined recursively byGiven that each sum below is t...

The powers of a function f: A → A are defined recursively by

Given that each sum below is the sum of part of an arithmetic or geometric sequence, find each sum.

(a) [BB] 75 + 71 + 67 + 63 + ⋯ + (−61)

(b) [BB]

(c) −52−41−30−19 + ⋯ + 949

(d)

(e) 2 + 6+18 + 54 + ⋯ + 354,294