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Prove that n^7/7 + n^5/5 + 2n^3/3 - n/105 is an integer for every positive integer n.

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Prove that n7/7 + n5/5 + 2n3/3 - n/105

is an integer for every positive integer n.

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Best answer

= m + some integer + 1

= same integral value

.'. P (k + 1) is true.

Hence, P (n) is true for all n ∈ N.

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