+0

If , 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.

+4
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2
+352

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
+352
+4

thank you guest. that was very helpful

Mar 4, 2019