The sum of the series: ( 1/(1 - 3·(1²) + 1⁴)) + ( 2/(1 - 3·(2²) +… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 31 January, Shift 1Sum of Series

The sum of the series:

$\left( \frac{1}{1 - 3\cdot(1^2) + 1^4} \right) + \left( \frac{2}{1 - 3\cdot(2^2) + 2^4} \right) + \left( \frac{3}{1 - 3\cdot(3^2) + 3^4} \right) + \ldots$ up to $10$ terms

A
$\frac{45}{109}$
B
$-\frac{45}{109}$
C
$\frac{55}{109}$
D
$-\frac{55}{109}$

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