Find the 5th Term 2/9 , 2/3 , 2

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by ${\displaystyle 3}$ gives the next term. In other words, ${\displaystyle a_n=a_1{r}^{n-1}}$.

Geometric Sequence: ${\displaystyle r=3}$

This is the form of a geometric sequence.

Substitute in the values of ${\displaystyle a_1=\frac{2}{9}}$ and ${\displaystyle r=3}$.

Combine ${\displaystyle \frac{2}{9}}$ and ${\displaystyle 3^{n-1}}$.

Substitute in the value of ${\displaystyle n}$ to find the ${\displaystyle n}$th term.