I was wondering if someone can show me step by step on how to do this question:
Prove that for all integers n >= 1, 6|n (n^2 + 5)
So far I got the bases step for when n = 1.
I am having troubles with the induction step after n = 1.
Also, the writing of your base step is atrocious.
is a STATEMENT, that 6 divides . It can NOT be used in equations.
You would need to write something like
If then which is divisible by 6.