Question

Given the geometric sequence where a1 = 3 and r = √2 find a9

Answer 1

the answer to this geometric sequence is 48.

Answer 2

`a_9=48`

Explanation:

we are given

sequence is geometric

so, we can use nth term formula

`a_n=a_1(r)^(n-1)`

we have

`a_1=3`

`r=√(2)`

we have to find a9

so, we can plug n=9

we get

`a_9=3(√(2))^(9-1)`

`a_9=2^4\cdot \:3`

`a_9=48`