Prove that for any integer n the expression
n7/7 + n5/5 + 23n/35
is whole integer.
(Hint: Note...
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Prove that for any integer n the expression n7/7 + n5/5 + 23n/35 is whole integer. (Hint: Note that the problem can be state in a following equivalentform: 35 | (5n7 +7n5 +23n); even further, by the previews theorem, it would be enough to showthat (5n7 + 7n5 + 23n) is divisible by 5 and 7.)
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