JEE Main 202227 Jun, Evening shiftMathematicsMediumSequence and Series179× since 2002Let S=2+67+1272+2073+3074+ .....S = 2 + {6 \over 7} + {{12} \over {{7^2}}} + {{20} \over {{7^3}}} + {{30} \over {{7^4}}} + \,.....S=2+76+7212+7320+7430+...... Then 4S is equal toAOption A. (73)2{\left( {{7 \over 3}} \right)^2}(37)2BOption B. 7332{{{7^3}} \over {{3^2}}}3273COption C. (73)3{\left( {{7 \over 3}} \right)^3}(37)3DOption D. 7233{{{7^2}} \over {{3^3}}}3372CheckSkip · show solution