What is the sum of the geometric series
10
6(2)^n
n=1
(1 point)
15,658
6,138
12,276
756
The sum of a geometric series is given by the formula:
S = a / (1 - r),
where:
S = sum of the series,
a = first term in the series,
r = common ratio.
In this case, the first term (a) is 10 and the common ratio (r) is 2. Substituting these values into the formula, we get:
S = 10 / (1 - 2) = 10 / (-1) = -10.
Therefore, the sum of the geometric series is -10.