Question: prove by induction n^3+(n+1)^3+(n+2)^3 is divisible by 9?
Answer: Shwo that n3+(n+1)3+(n+2)3 is divisible 9 for everynatural number n. Solution : Let P(n)=n3+(n+1)3+(n+2)3 is divisible by 9. =36, which is divisible by 9.