If the sum of the first 10 terms of the series (4 · 1)/(1 + 4 · 1⁴) + (4 · 2)/(1 + 4 · 2⁴) + (4 · 3)/(1 + 4 · 3⁴) + is m/n, where gcd(m, n) = 1, then m + n is equal to:

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q22

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

If the sum of the first 10 terms of the series

\frac{4 \cdot 1}{1 + 4 \cdot 1^4} + \frac{4 \cdot 2}{1 + 4 \cdot 2^4} + \frac{4 \cdot 3}{1 + 4 \cdot 3^4} + \ldots

\frac{m}{n}

, where gcd(m, n) = 1, then m + n is equal to:

Your answerInteger or decimal

JEE Main 2025 · April, Unspecified (session-level dataset) · Q22

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

If the sum of the first 10 terms of the series

\frac{4 \cdot 1}{1 + 4 \cdot 1^4} + \frac{4 \cdot 2}{1 + 4 \cdot 2^4} + \frac{4 \cdot 3}{1 + 4 \cdot 3^4} + \ldots

\frac{m}{n}

, where gcd(m, n) = 1, then m + n is equal to:

Your answerInteger or decimal