JEE Main 202229 Jun, Evening shiftMathematicsMediumSequence and Series179× since 2002The sum of the infinite series 1+56+1262+2263+3564+5165+7066+ .....1 + {5 \over 6} + {{12} \over {{6^2}}} + {{22} \over {{6^3}}} + {{35} \over {{6^4}}} + {{51} \over {{6^5}}} + {{70} \over {{6^6}}} + \,\,.....1+65+6212+6322+6435+6551+6670+..... is equal to :AOption A. 425216{{425} \over {216}}216425BOption B. 429216{{429} \over {216}}216429COption C. 288125{{288} \over {125}}125288DOption D. 280125{{280} \over {125}}125280CheckSkip · show solution
