Question

prove that n(n+1)(2n+1) is divisible by 6​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

By using the principle of Mathematical Induction, prove that: P(n)=n(n+1)(2n+1)P(n)=n(n+1)(2n+1) is divisible by 66.

My Attempt: Base Case: n=1n=1

P(1)=1(1+1)(2×1+1)

P(1)=1(1+1)(2×1+1)

=2×3

=2×3

=6

=6

, Which is divisible by 66. P(1)P(1) is divisible by 6