# How do you write the first five terms of the geometric sequence a_1=6, r=2?

Jun 15, 2017

$6 , 12 , 24 , 48 , 96$

#### Explanation:

A GP is of teh form

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

once one term is know to find the next multiply by the common ratio

so in this case we have

${a}_{1} = 6$

${a}_{2} = 6 \times 2 = 12$

${a}_{3} = 12 \times 2 = 24$

${a}_{4} = 24 \times 2 = 48$

${a}_{5} = 48 \times 2 = 96$