jee-main 2022 Q63

jee-main · India · session2_27jul_shift2 Arithmetic Sequences and Series Compute Partial Sum of an Arithmetic Sequence

Let the sum of an infinite G.P., whose first term is $a$ and the common ratio is $r$, be 5 . Let the sum of its first five terms be $\frac { 98 } { 25 }$. Then the sum of the first 21 terms of an AP, whose first term is $10 a r , n ^ { \text {th } }$ term is $a _ { n }$ and the common difference is $10 a r ^ { 2 }$, is equal to
(1) $21 a _ { 11 }$
(2) $22 a _ { 11 }$
(3) $15 a _ { 16 }$
(4) $14 a _ { 16 }$

Let the sum of an infinite G.P., whose first term is $a$ and the common ratio is $r$, be 5 . Let the sum of its first five terms be $\frac { 98 } { 25 }$. Then the sum of the first 21 terms of an AP, whose first term is $10 a r , n ^ { \text {th } }$ term is $a _ { n }$ and the common difference is $10 a r ^ { 2 }$, is equal to\\
(1) $21 a _ { 11 }$\\
(2) $22 a _ { 11 }$\\
(3) $15 a _ { 16 }$\\
(4) $14 a _ { 16 }$

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