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 = [tex]\frac{\frac{1}{2} }{\frac{1}{8} }[/tex] = [tex]\frac{1}{2} x 8[/tex] = 4
Input the parameters and solve;
Sₙ = [tex]\frac{1}{8}[/tex] x 4⁷⁻¹
Sₙ = [tex]\frac{1}{8}[/tex] x 4⁶ = 512
