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About LinkBacksProve n is odd if and only if n^3 is odd. So we want to prove if n is odd then n^3 is not odd. Which is the contradiction.
If n is odd then there exist a number in which n=2m+1. Where do I go from here to finish the proof?
ok, e n is odd andis even. By def of odd and even, there
such that
similarly,
such that
so
if you remember what division meant, if a divides b then there exists an integer g such that b = ag. since k is an integer, this means 2 divides (2m+1)^3 which means 2 divides (2m+1) which is a contradiction.
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