The first term of a geometric sequence is 300 and the common ratio is 0.6. What is the 7th term of the sequence?

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The first term of a geometric sequence is 300 and the common ratio is 0.6. What is the 7th term of the sequence?

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  1. Charlotte
    0
    2021-10-11T04:15:43+00:00

    \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}\\[-0.5em] \hrulefill\\ a_1=300\\ r=0.6\\ n=7 \end{cases} \\\\\\ a_7=300(0.6)^{7-1}\implies a_7=300(0.6)^6\implies a_7=13.9968

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