JEE Main 202431 Jan, Morning shiftMathematicsMediumSequence and Series179× since 2002The sum of the series 11−3⋅12+14+21−3⋅22+24+31−3⋅32+34+…\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}+\ldots1−3⋅12+141+1−3⋅22+242+1−3⋅32+343+… up to 10 -terms isAOption A. 45109\frac{45}{109}10945BOption B. −55109-\frac{55}{109}−10955COption C. 55109\frac{55}{109}10955DOption D. −45109-\frac{45}{109}−10945CheckSkip · show solution
