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The value of $\displaystyle\sum_{r=1}^{\infty}\left[3\cdot 2^{-r} - 2\cdot 3^{1-r}\right]$ is

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Infinite GP sum: $S = \dfrac{a}{1-r}$ for $|r|<1$. Split mixed series term-by-term before summing.

Updated On: Apr 8, 2026

2
$1/2$
1
0

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The Correct Option is D

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The value of $\displaystyle\sum_{r=1}^{\infty}\left[3\cdot 2^{-r} - 2\cdot 3^{1-r}\right]$ is

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The Correct Option is D

Solution and Explanation

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