## Prove that n^3-n is divisible by 3

Given n3 – n is divisible by 3 ∀ n ∈ N Proof We will prove the given statement by induction STEP 1 n = 1 n3 – n = 13 – 1 = 0 0 is divisible by 3. Therefore, the statement is true for n = 1 STEP 2 Let the given statement …