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Mathematics · 2023

JEE Main · 29 January 2023, Shift 1 · Q84

Let a_1, a_2, a_3, … be a G P of increasing positive numbers. If the product of fourth and sixth terms is 9 and the sum of fifth and seventh terms is…

Let $\displaystyle a_1, a_2, a_3, \ldots$ be a $\displaystyle G P$ of increasing positive numbers. If the product of fourth and sixth terms is $\displaystyle 9$ and the sum of fifth and seventh terms is $\displaystyle 24$ , then $\displaystyle a_1 a_9+a_2 a_4 a_9+a_5+a_7$ is equal to $\displaystyle \_\_\_\_$.
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