Question:medium
If the sum of the first 10 terms of the series $\frac{1}{1+1^4 \cdot 4} + \frac{2}{1+2^4 \cdot 4} + \frac{3}{1+3^4 \cdot 4} + \dots$ is $\frac{m}{n}$, $\text{gcd}(m, n) = 1$, then $m+n$ is equal to :
If the sum of the first 10 terms of the series $\frac{1}{1+1^4 \cdot 4} + \frac{2}{1+2^4 \cdot 4} + \frac{3}{1+3^4 \cdot 4} + \dots$ is $\frac{m}{n}$, $\text{gcd}(m, n) = 1$, then $m+n$ is equal to :
Updated On: Apr 12, 2026
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The Correct Option is C
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