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Question

The sum of the series $\frac{1}{1-3 \cdot 1^2+1^4}+\frac{2}{1-3 \cdot 2^2+2^4}+\frac{3}{1-3 \cdot 3^2+3^4}+\ldots$ up to 10 -terms is

$\frac{45}{109}$
$-\frac{55}{109}$
$\frac{55}{109}$
$-\frac{45}{109}$

Solution

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