jee-main 2019 Q66

jee-main · India · session2_08apr_shift1 Arithmetic Sequences and Series Summation of Derived Sequence from AP
The sum of the series $2\cdot{}^{20}C_0 + 5\cdot{}^{20}C_1 + 8\cdot{}^{20}C_2 + 11\cdot{}^{20}C_3 + \ldots + 62\cdot{}^{20}C_{20}$ is equal to
(1) $2^{26}$
(2) $2^{25}$
(3) $2^{24}$
(4) $2^{23}$
The sum of the series $2\cdot{}^{20}C_0 + 5\cdot{}^{20}C_1 + 8\cdot{}^{20}C_2 + 11\cdot{}^{20}C_3 + \ldots + 62\cdot{}^{20}C_{20}$ is equal to\\
(1) $2^{26}$\\
(2) $2^{25}$\\
(3) $2^{24}$\\
(4) $2^{23}$