Find the sum of the finite geometric series 1 + 2 + 4 + 8 + ... + 64.
A) 79
B) 127
C) 1
D) 43

Question

Quizplus · Accepted Answer

The series is a geometric series with the first term a = 1, common ratio r = 2, and the last term 64. The number of terms n can be found using the formula for the nth term of a geometric series: a * r^(n-1) = 64. Solving gives n = 7. The sum of the series is given by S_n = a * (r^n - 1) / (r - 1) = 1 * (2^7 - 1) / (2 - 1) = 127.

Find the Sum of the Finite Geometric Series 1