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Mathematics · 2024

JEE Main · 27 January 2024, Shift 1 · Q24

If 8=3+1/4(3+p)+1/4^2(3+2 p)+1/4^3(3+3 p)+⋯ ⋯ ∞, then the value of p is ____.

If $\displaystyle 8=3+\frac{1}{4}(3+p)+\frac{1}{4^2}(3+2 p)+\frac{1}{4^3}(3+3 p)+\cdots \cdots \infty$, then the value of $\displaystyle p$ is $\displaystyle \_\_\_\_$.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.