Question

Solve the following application problem.

The formula for the n th term b of a geometric series is b = arn-1. Find n when b = 1,024 a = 16, and r = 2.

Answer 1

The solution would be like this for this specific problem:

1024 = 16*2^(n-1)
64 = 2^(n-1)
2^6 = 2^(n-1)
n-1 = 6
n = 7

I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer 2

Substituting the values into the formula:
1024 = 16(2)ⁿ⁻¹
(2)ⁿ⁻¹ = 64
(2)ⁿ⁻¹ = 2⁶
n - 1 = 6
n = 7