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Sequences and Series question

2024 · 27 Jan · Shift 1 · Q51
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Sequences and Series question

2024 · 27 Jan · Shift 1 · Q51

JEE MainMathematicsSequences and SeriesNumerical+4 / −1
If 8=3+14(3+p)+142(3+2p)+143(3+3p)+⋯⋯∞8=3+\frac{1}{4}(3+p)+\frac{1}{4^2}(3+2 p)+\frac{1}{4^3}(3+3 p)+\cdots \cdots \infty8=3+41​(3+p)+421​(3+2p)+431​(3+3p)+⋯⋯∞, then the value of ppp is ‾\underline{\hspace{2cm}}​.
Numerical answer
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