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 Option 1: ^2/6 - 1 Option 2: /6 Option 3: ^2/12 Option 4: ^2/8

The answer is '^2/8'. View full solution:

IPMAT Indore - 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

Algebra

Medium

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

$\frac{\pi}{6}$

$\frac{\pi^2}{12}$

$\frac{\pi^2}{8}$

✅ Correct Option: 4

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