QUESTION 5 Prove that n P nis divisible by six for everypositive integer. Proof. We prove this by induction on n. Basecase: n=1. We have

QUESTION 5 Prove that n³ P nis divisible by six for everypositive integer. Proof. We prove this by induction on n. Basecase: n=1. We have 1³ - 1 = 0, which is obviously divisible by 6.Induction H Prove that \( n^{3}-n \) is divisible by six for every positive integer. Proof. We prove this by induction on \( n \). Base case: \( n=1 \). We have \( 1^{3}-1=0 \), which is obviously divisible by 6 1 answer