# How do you find the first five terms of the geometric sequence a_1=243, r=1/3?

Apr 21, 2017

$243 , 81 , 27 , 9 , 3$

#### Explanation:

The terms in a $\textcolor{b l u e}{\text{geometric sequence}}$ are.

$a , a r , a {r}^{2} , a {r}^{3} , \ldots \ldots , a {r}^{n - 1}$

To obtain any term in the sequence, multiply the previous term
by r

${a}_{1} = 243$

$\Rightarrow {a}_{2} = 243 \times \frac{1}{3} = 81$

$\Rightarrow {a}_{3} = 81 \times \frac{1}{3} = 27$

$\Rightarrow {a}_{4} = 27 \times \frac{1}{3} = 9$

$\Rightarrow {a}_{5} = 9 \times \frac{1}{3} = 3$