IPMAT Indore 2020 (MCQ) - If 1/1^2 + 1/2^2 + 1/3^2 + up to ∞ = ^2/6, then the value of 1/1^2 + 1/3^2 + 1/5^2 + up to ∞ is | PYQs + Solutions

IPMAT Indore 2020

Algebra

Progression & Series

Hard

If $\frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + \ldots$ up to $\infty = \frac{\pi^2}{6}$ , then the value of $\frac{1}{1^2} + \frac{1}{3^2} + \frac{1}{5^2} + \ldots$ up to $\infty$ is

\frac{\pi^2}{8}

\frac{\pi^2}{16}

\frac{\pi^2}{12}

\frac{\pi^2}{36}

Correct Option: 1

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