Prove that if and only if for some positive integer
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try it for small m, and use that (m n) = (m m-n) should be pretty obvious that if the condition doesn't hold the series doesn't 'telescope' into itself and leaves a remainder.
try the telescoping for small m if u want to see what's happening.
no real need for that, just need that (7 0) = (7 7), (7 1) = (7 6) etc.
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