# How do you determine the first 5 terms if a_1=2 and r=3?

Jun 9, 2018

$2 , 6 , 18 , 54 , 162$

#### Explanation:

$\text{since common ratio } r = 3$

$\text{we are dealing with a geometric sequence}$

$\text{to obtain a term in the sequence multiply the previous}$
$\text{term by r}$

${a}_{1} = 2$

${a}_{2} = 3 \times 2 = 6$

${a}_{3} = 3 \times 6 = 18$

${a}_{4} = 3 \times 18 = 54$

${a}_{5} = 3 \times 54 = 162$