Find the sixth term of the geometric sequence 9, 18, 36, …

Question

Find the sixth term of the geometric sequence
9, 18, 36, …

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Trung Dũng 3 months 2021-08-01T13:55:03+00:00 1 Answers 6 views 0

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  1. danthu
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    2021-08-01T13:56:54+00:00
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    Answer:

    This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as

    \begin{gathered}a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288\end{gathered}an=arn−1, where a=initial term, r=common ratio, n=term numberan=9(2n−1)a6=9(25)a6=288

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