jee-main 2019 Q65

jee-main · India · session2_08apr_shift2 Arithmetic Sequences and Series Summation of Derived Sequence from AP

The sum $\sum _ { k = 1 } ^ { 20 } k \frac { 1 } { 2 ^ { k } }$ is equal to
(1) $1 - \frac { 11 } { 3 ^ { 20 } }$
(2) $2 - \frac { 21 } { 2 ^ { 20 } }$
(3) $2 - \frac { 3 } { 2 ^ { 17 } }$
(4) $2 - \frac { 11 } { 2 ^ { 19 } }$

The sum $\sum _ { k = 1 } ^ { 20 } k \frac { 1 } { 2 ^ { k } }$ is equal to\\
(1) $1 - \frac { 11 } { 3 ^ { 20 } }$\\
(2) $2 - \frac { 21 } { 2 ^ { 20 } }$\\
(3) $2 - \frac { 3 } { 2 ^ { 17 } }$\\
(4) $2 - \frac { 11 } { 2 ^ { 19 } }$

Paper Questions

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