If the sum of the first 20 terms of the series (4· 1)/(4 + 3· 1²… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 4 April, Shift 2Sum of Series

If the sum of the first $20$ terms of the series $\frac{4\cdot 1}{4 + 3\cdot 1^2 + 1^4} + \frac{4\cdot 2}{4 + 3\cdot 2^2 + 2^4} + \frac{4\cdot 3}{4 + 3\cdot 3^2 + 3^4} + \frac{4\cdot 4}{4 + 3\cdot 4^2 + 4^4} + \dots$ is $\frac{m}{n}$ , where $m$ and $n$ are coprime, then $m + n$ is equal to:

A
$423$
B
$420$
C
$421$
D
$422$

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