Mathematics, 24.06.2019 19:00 josephvcarter
In a geometric sequence, the common ratio is -5. the sum of the first 3 terms is 147. what is the value of the first term of the sequence?
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![\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio} \end{cases} \\\\[-0.35em] ~\dotfill](/tpl/images/0012/8242/51cac.png)
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In a geometric sequence, the common ratio is -5. the sum of the first 3 terms is 147. what is the va...
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