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Lera25 [3.4K]
2 years ago
12

Find the sum of a finite geometric sequence from n = 1 to n = 6, using the expression −2(5)n − 1.

Mathematics
2 answers:
vazorg [7]2 years ago
8 0
\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
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=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=5\\
n=6
\end{cases}
\\\\\\
S_6=-2\left( \cfrac{1-5^6}{1-5} \right)
ehidna [41]2 years ago
5 0

The answer is D. −7,812

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