Question

Find the 7th term of the geometric sequence1/8, 1/2, 2, ...​

Answer 1

Answer:

512

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  = $\frac{\frac{1}{2} }{\frac{1}{8} }$    = $\frac{1}{2} x 8$   = 4

Input the parameters and solve;

      Sₙ  = $\frac{1}{8}$ x 4⁷⁻¹

     Sₙ   = $\frac{1}{8}$ x 4⁶  = 512