180 Days of Ideas for Discussion in Math Class. (as of 9July2014, we're in overtime!)

1/4 + 1/8 + 2/16 + 3/32 + 5/64 + 8/128 + 13/256 + 21/512 + 34/1024 + ... = ? — Matt Enlow (@CmonMattTHINK) April 16, 2014

Is there any reason to suspect there is an elementary closed form expression? I know that the sum of the recriprocal Fibonacci series involves theta functions, of which I know virtually nothing about.

Is there any reason to suspect there is an elementary closed form expression? I know that the sum of the recriprocal Fibonacci series involves theta functions, of which I know virtually nothing about.

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