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 Option 1: ^2/8 Option 2: ^2/16 Option 3: ^2/12 Option 4: ^2/36

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

IPMAT Indore - 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

Algebra

Hard

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

$\frac{\pi^2}{16}$

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

$\frac{\pi^2}{36}$

✅ Correct Option: 1

Related questions:

IPMAT Indore 2026

A certain number of people contributed to a charity. The first person contributed one rupee. The rule for contribution was that the next person would contribute double the amount already raised. If the total money raised for the charity was 2187 rupees, then the number of people who contributed to the charity is

IPMAT Indore 2022

The $3^{\text {rd }}, 14^{\text {th }}$ and $69^{\text {th }}$ terms of an arithmetic progression form three distinct and consecutive terms of a geometric progression. If the next term of the geometric progression is the $n^{\text {th }}$ term of the arithmetic progression, then $n$ equals ________.

IPMAT Indore 2023

Let $a_{1}, a_{2}, a_{3}$ be three distinct real numbers in geometric progression. If the equations $a_{1} x ^ 2 + 2a_{2}x + a_{3} = 0$ and $b_{1} x ^ 2 + 2b_{2}x + b_{3} = 0$ have a common root, then which of the following is necessarily true?

IPMAT Indore (MCQ) PYQs

Keyboard Shortcuts