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Mathematics · 2022

JEE Main · 29 July 2022, Shift 1 · Q24

Let a_1, a_2, a_3, … be an A.P. If Σ_r =1^∞ (a_r)/(2^r)=4, then 4 a_2 is equal to \ \ \ \.

Let $\displaystyle \mathrm{a}_1, \mathrm{a}_2, \mathrm{a}_3, \ldots$ be an A.P. If $\displaystyle \sum_{\mathrm{r}=1}^{\infty} \frac{\mathrm{a}_{\mathrm{r}}}{2^{\mathrm{r}}}=4$, then $\displaystyle 4 \mathrm{a}_2$ is equal to \_\_\_\_.
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.