jee-main 2022 Q62

jee-main · India · session1_28jun_shift1 Geometric Sequences and Series Finite Geometric Sum and Term Relationships

Let $A_1, A_2, A_3, \ldots\ldots$ be an increasing geometric progression of positive real numbers. If $A_1 A_3 A_5 A_7 = \frac{1}{1296}$ and $A_2 + A_4 = \frac{7}{36}$, then, the value of $A_6 + A_8 + A_{10}$ is equal to
(1) 43
(2) 33
(3) 37
(4) 48

Let $A_1, A_2, A_3, \ldots\ldots$ be an increasing geometric progression of positive real numbers. If $A_1 A_3 A_5 A_7 = \frac{1}{1296}$ and $A_2 + A_4 = \frac{7}{36}$, then, the value of $A_6 + A_8 + A_{10}$ is equal to\\
(1) 43\\
(2) 33\\
(3) 37\\
(4) 48

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