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Sequences and Series question

2025 · 4 Apr · Shift 2 · Q33

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JEE Main
Mathematics
Sequences and Series
2025 · 4 Apr · Shift 2 · Q33

Sequences and Series question

2025 · 4 Apr · Shift 2 · Q33

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

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}+\ldots \cdot

is

\frac{\mathrm{m}}{\mathrm{n}}

, where m and n are coprime, then

\mathrm{m}+\mathrm{n}

is equal to :

A
423
B
421
C
422
D
420

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