Question

Use mathematical induction to prove the statement is true for all positive integers n.

The integer n3 + 2n is divisible by 3 for every positive integer n.

Answer 1

I'm not sure how you want me to solve this. I solved it in one way which divides the n into 3 possible parts: 3x or 3x+1 or 3x+2

Answer 2

how I solved it is: n^3 + 2n = n(n^2+2)