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puteri [66]
3 years ago
5

Determine 7th term in the geometric sequence whose first term is 5 and whose common ratio is 2.

Mathematics
1 answer:
blagie [28]3 years ago
7 0
\bf n^{th}\textit{ term of a geometric sequence}
\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=5\\
r=2\\
n=7
\end{cases}
\\\\\\
a_7=5\cdot 2^{7-1}\implies a_7=5\cdot 2^6\implies a_7=320
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