JEE Main 202229 Jun, Morning shiftMathematicsMediumSequence and Series179× since 2002Let {an}n=0∞\{ {a_n}\} _{n = 0}^\infty{an}n=0∞ be a sequence such that a0=a1=0{a_0} = {a_1} = 0a0=a1=0 and an+2=2an+1−an+1{a_{n + 2}} = 2{a_{n + 1}} - {a_n} + 1an+2=2an+1−an+1 for all n ≥\ge≥ 0. Then, ∑n=2∞an7n\sum\limits_{n = 2}^\infty {{{{a_n}} \over {{7^n}}}}n=2∑∞7nan is equal to:AOption A. 6343{6 \over {343}}3436BOption B. 7216{7 \over {216}}2167COption C. 8343{8 \over {343}}3438DOption D. 49216{{49} \over {216}}21649CheckSkip · show solution
