[solved]-Use Strong Induction Show Every Positive Integer N Written Sum Distinct Powers Two Sum Sub Q38988456

Use strong induction to show that every positive integer n canbe written as a sum of distinct powers of two, that is, as a sum ofa subset of the integers 2^0 =1,2^1 =2,2^2 =4, and so on. [Hint:For the inductive step, separately consider the case where k + 1 iseven and where it is odd. When it is even, note that (k + 1)/2 isan integer.]

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