Home -> Solved problems -> Find the general term of the sequence

### Solution

To start, we know that we are dealing with a geometric sequence, thus

\[a_{2}=r a_{1}=-\frac{2}{3}\;\;\;\;\;\;\;(1)\]

\(r\) is the common ratio.

An infinite geometric series converges if and only if \(|r|<1\), therefore

\((1)\) and \((2)\), gives

Let’s discuss the found values

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