IPMAT Indore 2025 (MCQ) - Given that 1 + 1/2^2 + 1/3^2 + 1/4^2 + ... = ^2/6, the value of 1 + 1/3^2 + 1/5^2 + 1/7^2 + ... is | PYQs + Solutions

IPMAT Indore 2025

Algebra

Progression & Series

Medium

Given that $1 + \frac{1}{2^2} + \frac{1}{3^2} + \frac{1}{4^2} + ... = \frac{\pi^2}{6}$ , the value of $1 + \frac{1}{3^2} + \frac{1}{5^2} + \frac{1}{7^2} + ...$ is

\frac{\pi^2}{6} - 1

\frac{\pi}{6}

\frac{\pi^2}{12}

\frac{\pi^2}{8}

✅ Correct Option: 4

Note: This IPMAT Indore 2025 question is repeated from IPMAT Indore 2020.

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