KVPY #9

Algebra Level 4

If a=r=11r2\displaystyle a = \sum_{r=1}^\infty \frac 1{r^2} and b=r=11(2r1)2\displaystyle b = \sum_{r=1}^\infty \frac 1{(2r-1)^2} , find 3ab\dfrac {3a}b.

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