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If \(k=\frac{1}{1+2x}\) , where x is an integer greater than 1 and k can be represented as a terminating decimal, find the sum of all possible values of k.

 Feb 27, 2019
 #1
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k forms an infinite sequence with:

First term =1 / 5

Common ratio =1/5

Sum =F / (1 - R)

Sum =1/5 / (1 - 1/5)

Sum =1/5 / (4/5)

Sum =1/5 x 5/4

Sum = 5 / 20

Sum = 1 / 4

 Feb 27, 2019
 #2
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thank you guest. that was very helpful

 Mar 4, 2019

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