Question

Find the 7th term of the geometric sequence
1/8, 1/2, 2, ...
​

Answer 1

512

Step-by-step explanation:

Given sequence:

1/8, 1/2, 2, ...

Unknown:

The 7th term of the geometric sequence = ?

Solution:

To solve this problem, we apply the formula below;

Sₙ = arⁿ⁻¹

a is the first term

r is the common ratio

n is the nth term

r =
`((1)/(2) )/((1)/(8) )` =
`(1)/(2) x 8` = 4

Input the parameters and solve;

Sₙ =
`(1)/(8)` x 4⁷⁻¹

Sₙ =
`(1)/(8)` x 4⁶ = 512