Calculate the sum of the given geometric series: ∑6n=120(12)n−1 (1 point)
First, we need to find the first term (a) and the common ratio (r) of the geometric series.
a = 12^0 = 1
r = 12
The sum of a geometric series is given by the formula:
S = a(1 - r^n) / (1 - r)
Plugging in the values:
S = 1(1 - 12^6) / (1 - 12)
S = 1(1 - 2985984) / (-11)
S = -2985983 / (-11)
S = 271443
Therefore, the sum of the given geometric series is 271443.