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Indicate a general rule for the n th term of the sequence. Find a a_g a_1 =2

Indicate a general rule for the n th term of the sequence. Find a a_g a_1 =2-example-1

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5 votes

Answer:


\begin{gathered} a_n=2(√(3))^(n-1) \\ \\ a_9=162 \end{gathered}

Explanation:

Notice that the formula:


a_n=2(√(3))^(n-1)

Has the general looking form of a series, and also stands for the a1 given, since:


a_1=2

This way, we'll have that:


\begin{gathered} a_9=2(√(3))^(9-1) \\ \\ \Rightarrow a_9=162 \end{gathered}

User Juan Besa
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