If 3 + 3alpha + 3{alpha ^2} + .........infty | vedclass

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Question

(b) $3 + 3\alpha + 3{\alpha ^2} + 3{\alpha ^3} + ..............\infty = \frac{{45}}{8}$

$ \Rightarrow $ $3\left[ {\frac{1}{{1 - \alpha }}} \right]

Vedclass · Accepted Answer

$7/15$

Vedclass · Answer

(b) $3 + 3\alpha + 3{\alpha ^2} + 3{\alpha ^3} + ..............\infty = \frac{{45}}{8}$

$ \Rightarrow $ $3\left[ {\frac{1}{{1 - \alpha }}} \right] = \frac{{45}}{8}$

$ \Rightarrow $ $8 = 15(1 - \alpha )$

$ \Rightarrow $ $\alpha = \frac{7}{{15}}$.

If $3 + 3\alpha + 3{\alpha ^2} + .........\infty = \frac{{45}}{8}$, then the value of $\alpha $ will be

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