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Mathematics · 2026

JEE Main · 5 April 2026, Shift 2 · Q5

If the sum of the first 10 terms of the series 1/(1+1^4 × 4)+2/(1+2^4 × 4)+3/(1+3^4 × 4)+4/(1+4^4 × 4)+… …. is m/n, gcd ( m, n )=1, then m + n is…

If the sum of the first $\displaystyle 10$ terms of the series $\displaystyle \frac{1}{1+1^4 \times 4}+\frac{2}{1+2^4 \times 4}+\frac{3}{1+3^4 \times 4}+\frac{4}{1+4^4 \times 4}+\ldots \ldots$. is $\displaystyle \frac{\mathrm{m}}{\mathrm{n}}, \operatorname{gcd}(\mathrm{m}, \mathrm{n})=1$, then $\displaystyle \mathrm{m}+\mathrm{n}$ is equal to :
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.