jee-main 2022 Q63

jee-main · India · session1_27jun_shift2 Geometric Sequences and Series Sum of an Infinite Geometric Series (Direct Computation)

Let $S = 2 + \frac { 6 } { 7 } + \frac { 12 } { 7 ^ { 2 } } + \frac { 20 } { 7 ^ { 3 } } + \frac { 30 } { 7 ^ { 4 } } + \ldots$. then $4 S$ is equal to
(1) $\left( \frac { 7 } { 2 } \right) ^ { 2 }$
(2) $\left( \frac { 7 } { 3 } \right) ^ { 3 }$
(3) $\frac { 7 } { 3 }$
(4) $\left( \frac { 7 } { 3 } \right) ^ { 4 }$

Let $S = 2 + \frac { 6 } { 7 } + \frac { 12 } { 7 ^ { 2 } } + \frac { 20 } { 7 ^ { 3 } } + \frac { 30 } { 7 ^ { 4 } } + \ldots$. then $4 S$ is equal to\\
(1) $\left( \frac { 7 } { 2 } \right) ^ { 2 }$\\
(2) $\left( \frac { 7 } { 3 } \right) ^ { 3 }$\\
(3) $\frac { 7 } { 3 }$\\
(4) $\left( \frac { 7 } { 3 } \right) ^ { 4 }$

Paper Questions

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