JEE Main 202624 Jan, Evening shiftMathematicsMediumSequence and Series179× since 2002(13+47)+(132+13×47+4272)+(133+132×47+13×4272+4373)+…\left(\frac13+\frac47\right)+\left(\frac{1}{3^2}+\frac13\times\frac47+\frac{4^2}{7^2}\right)+\left(\frac{1}{3^3}+\frac{1}{3^2}\times\frac47+\frac13\times\frac{4^2}{7^2}+\frac{4^3}{7^3}\right)+\dots(31+74)+(321+31×74+7242)+(331+321×74+31×7242+7343)+… upto infinite terms, is equal toAOption A. 65\frac{6}{5}56BOption B. 43\frac{4}{3}34COption C. 52\frac{5}{2}25DOption D. 74\frac{7}{4}47CheckSkip · show solution