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.

Terminating decimal values for k occur when 1+2x is a power of 5, so: \(\sum k=\sum_{p=1}^\infty 5^{-p}=\frac{1}{4}\)