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Mathematics · 2024

JEE Main · 9 April 2024, Shift 2 · Q7

Let a, a r, a r^2, … … be an infinite G.P. If Σ_n=0^∞ a r^n=57 and Σ_n=0^∞ a^3 r^3 n=9747, then a+18 r is equal to

Let $\displaystyle a, a r, a r^2, \ldots \ldots$ be an infinite G.P. If $\displaystyle \sum_{n=0}^{\infty} a r^n=57$ and $\displaystyle \sum_{n=0}^{\infty} a^3 r^{3 n}=9747$, then $\displaystyle a+18 r$ is equal to
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.