Using mathematical induction , show that...

Using mathematical induction , show that `n(n+1)(n+5)` is a multiple of `3`.

Similar Questions

Explore conceptually related problems

Prove the following by using the principle of mathematical induction for all n in N :- n(n +1) (n + 5) is a multiple of 3.

By Mathematical Induction, prove that : n! 1 .

Prove the following by using the principle of mathematical induction for all n in N :- 41^n- 14^n is a multiple of 27.

Use the principle of mathematical induction to show that 5^(2n+1)+3^(n+2).2^(n-1) divisible by 19 for all natural numbers n.

Use the principle of mathematical induction to show that a^(n) - b^n) is divisble by a-b for all natural numbers n.

Using mathematical induction prove that n^(3)-7n+3 is divisible by 3, AA n in N

Use the Principle of Mathematical Induction to prove that n(n + 1) (2n + 1) is divisible by 6 for all n in N.

Using mathematical induction prove that d(x^n)/dx = nx^(n-1) for all positive integers n.

Using the principle of mathematical induction to show that 41^n-14^n is divisible by 27 for all n.