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Give a story proof that n (k) (nk+2) _ (n+3) 2 2 _ 5 ' k=2 for all integers n 2 2. Hint: Consider the

Give a story proof that n (k) (nk+2) _ (n+3) 2 2 _ 5 ' k=2 for all integers n 2 2. Hint: Consider the middle number in a subset of {1, 2, . . . ,n + 3} of size 5

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