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Question Number 86560 by naka3546 last updated on 29/Mar/20

$$x=1+\frac{3}{4}+\frac{15}{32}+\frac{105}{384}+...$$$$x^2-1=?$$

Commented by redmiiuser last updated on 29/Mar/20

$$ansis7.$$

Commented by redmiiuser last updated on 29/Mar/20

$$plschecktheanssir.$$

Commented by Prithwish Sen 1 last updated on 29/Mar/20

$$\mathrm{the}\mathrm{series}\mathrm{is}$$$${(1-\mathrm{a})}^{-\frac{3}{2}}\mathrm{where}\mathrm{a}=\frac{1}{2}$$$$\therefore \mathbf{x}={(1-\frac{1}{2})}^{-\frac{3}{2}}$$$${\mathbf{x}}^2-1=8-1=7$$

Commented by naka3546 last updated on 29/Mar/20

$$thankyou,sir$$

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