Question: Let (1/2 = < k < 1 ) A = { k, k 2 , k 3 , ....k n }; n= natural number. Prove

Let (1/2 =< k < 1 )

A = { k, k2, k3, ....kn}; n= natural number.

Prove that if x is a number in (0,1) then there is a finite or infinite sum of the numbers in A (repetitions not permitted) which equals x

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