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Prove that 1+2+3+...+ n is divisible by n if n is odd. Always true that 1+2+3+...+...

Prove that 1+2+3+...+ n is divisible by n if n is odd. Always true that 1+2+3+...+ n is divisible by n+1 if n is even? Provide a proof.

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Answer #1

1+2+3...+n=(n(n+1))/2

The proof follows by induction.If not able to do then comment down, I will provide the proof.

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