Question: ( 3 ) Prove that if k is odd, the sum 1 k + 2 k + 3 k + cdots + n k will

(3) Prove that if k is odd, the sum 1k+2k+3k+cdots+nk will always
be divisible by the sum 1+2+3+cdots+n, regardless of n.
Hint: What is the formula for the sum 1+2+cdots+n? Consider
the cases n even and odd separately. Divide and Conquer.
(3) Prove that if k is odd, the sum 1k+2k+3k+cdots+nk will

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