What is the sum of the geometric series?
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@dan815
@wrstlr3232
(A). 10 (B). 21 (C). 21/8 (D). 21/2
@Luigi0210
@ParthKohli
\(\large \begin{align} \color{black}{\sum_{i=1}^{3} 8\times \left(\frac{1}{4}\right) ^{(i-1)} \hspace{.33em}\\~\\ =8\times \left(\frac{1}{4}\right) ^{(1-1)}+8\times \left(\frac{1}{4}\right) ^{(2-1)}+8\times \left(\frac{1}{4}\right) ^{(3-1)} \hspace{.33em}\\~\\ }\end{align}\)
do I actually minus those exponets together first ex. (1-1)(2-1)(3-1).
\(\large \begin{align} \color{black}{\normalsize \text{u should proceed like this} \hspace{.33em}\\~\\ =8\times \left(\frac{1}{4}\right) ^{(1-1)}+8\times \left(\frac{1}{4}\right) ^{(2-1)}+8\times \left(\frac{1}{4}\right) ^{(3-1)} \hspace{.33em}\\~\\ =8\times \left(\frac{1}{4}\right) ^{(0)}+8\times \left(\frac{1}{4}\right) ^{(1)}+8\times \left(\frac{1}{4}\right) ^{(2)} \hspace{.33em}\\~\\ }\end{align}\)
(A). 10
Well I got 10.5, but there is no 11 so I went with A.
Nevermind its (D). opps(:
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