What is the sum of the geometric series
10
Z6(2)"?
n=1
(1 point)
15,658
6,138
12,276
756
The sum of the geometric series can be calculated using the formula:
S = a * (1 - r^n) / (1 - r)
where a is the first term of the series, r is the common ratio, and n is the number of terms.
In this case, the first term (a) is 10, the common ratio (r) is 2, and there are 6 terms (n = 6).
Plugging these values into the formula:
S = 10 * (1 - 2^6) / (1 - 2)
S = 10 * (1 - 64) / -1
S = 10 * -63 / -1
S = 630 / -1
S = -630
Therefore, the sum of the geometric series is -630.