jee-main 2018 Q66

jee-main · India · 16apr Geometric Sequences and Series Finite Geometric Sum and Term Relationships
The sum of the first 20 terms of the series $1 + \frac { 3 } { 2 } + \frac { 7 } { 4 } + \frac { 15 } { 8 } + \frac { 31 } { 16 } + \ldots$ is
(1) $39 + \frac { 1 } { 2 ^ { 19 } }$
(2) $38 + \frac { 1 } { 2 ^ { 20 } }$
(3) $38 + \frac { 1 } { 2 ^ { 19 } }$
(4) $39 + \frac { 1 } { 2 ^ { 20 } }$ 
The sum of the first 20 terms of the series $1 + \frac { 3 } { 2 } + \frac { 7 } { 4 } + \frac { 15 } { 8 } + \frac { 31 } { 16 } + \ldots$ is\\
(1) $39 + \frac { 1 } { 2 ^ { 19 } }$\\
(2) $38 + \frac { 1 } { 2 ^ { 20 } }$\\
(3) $38 + \frac { 1 } { 2 ^ { 19 } }$\\
(4) $39 + \frac { 1 } { 2 ^ { 20 } }$
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