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3 years ago

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What is the value of the fourth term in a geometric sequence for which a1 = 30 and r = 1/2?.

Mariana [72]

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=30\\
r=\frac{1}{2}\\
n=4
\end{cases}\implies a_4=30\left( \frac{1}{2} \right)^{4-1}$

5 0

4 years ago