Hi guys , i came across this summation and i couldn't solve it any ideas?

\[ \sum_{n=0}^\infty\frac{5^n(3^{5^{n+1}}-5\times3^{5^n}+4)}{729^{5^n}-243^{5^n}-5\times3^{5^n}+1}\]

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TopNewestWhat's so interesting about this sum? It doesn't appear to converge to any "nice" number.

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actually it converge to \(\frac { 1 }{ 2 } \) according to WolframAlpha

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No, it's actually slightly larger than 0.512.

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@Chew-Seong Cheong can you help me please?!

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