# How do you find nth term rule for r=3 and a_1=2?

##### 1 Answer

The formula for the general term for each geometric sequence is

${a}_{n} = {a}_{1} \cdot {r}^{n - 1}$

hence

${a}_{n} = 2 \cdot {3}^{n - 1} = \frac{2}{3} \cdot {3}^{n}$