# Find a formula for the general term of the sequence \{ -6,4,-\frac{8}{3}, \frac{16}{9},...

## Question:

Find a formula for the general term of the sequence {eq}\{ -6,4,-\frac{8}{3}, \frac{16}{9}, -\frac{32}{27}, \cdots \} {/eq}

## Geometric Sequences:

The given series can be checked for geometric series, by finding the ratio of the consecutive terms, Thus the geometric series are those series that have the common ratio, this ratio is the ratio of the consecutive terms. If the ratio is less than 1 then it forms a power series with the limiting sum as some finite value.