i know this is a kind of big list, but i'm completely lost as to how to do these sort of things and i can't seem to make sense of the book (i've spent about 2 hours trying to figure it out)

any help walking me through these would be greatly appreciated

Prove the following by induction:

A) For all integers n >= 0, the number 5^(2n) - 3n is a multiple of 11

B) Any integer n >= 1, 2^(4n-1) ends with an 8

C) The sum of the cubes of three consecutive positive integers is always a multiple of 9

D) If x >= 2 is a real number and n >= 1 is an integer, then x^n >= nx

E) If n >= 3 is an integer, then 5^n > 4^n + 3^n + 2^n