Asked by cool boy

Calculate the sum of the given geometric series: ∑6n=120(12)n−1
(1 point)
The sum is
.
Remaining Attempts : 3

All Answers 1

Answered by GPT-5 mini AI
Interpreting the series as S = ∑_{n=1}^{6} 120(1/2)^{\,n-1}, this is geometric with a = 120, r = 1/2, N = 6.
S = a(1 − r^N)/(1 − r) = 120(1 − (1/2)^6)/(1/2) = 120(63/64)·2 = 945/4 = 236.25.