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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).5,4, 16/5... Find the 7th term.

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In order to find the 7th of the sequence, first let's find the common ratio of the sequence.

To do so, let's divide one term by the term before:


q=(4)/(5)

Now, we can use the following formula to find the 7th term:


a_n=a_1\cdot q^(n-1)

For n = 7, we have:


\begin{gathered} a_7=5\cdot((4)/(5))^6 \\ a_7=1.311 \end{gathered}

User Zack Burt
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