Taking Every Other Term

Algebra Level 2

$a = 1+\frac 14 + \frac 19 +\frac 1{16} +\frac 1{25} + \cdots$

Determine the value of the below expression in terms of $$a$$.

$\frac 19 +\frac 1{25} +\frac 1{49} + \cdots$

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