Calculate upper S subscript 12 baseline for the geometric series 4 plus 10 plus 25 plus ellipsis.
(1 point)
Responses
158,943.053
158,943.053
95,367.432
95,367.432
63,575.621
63,575.621
negative 345.990
To find the sum of the geometric series, we can use the formula:
Sn = a * (1 - r^n) / (1 - r)
In this case, a = 4 (the first term) and r = 10/4 = 2.5 (common ratio).
Substituting these values into the formula:
S12 = 4 * (1 - (2.5)^12) / (1 - 2.5)
Using a calculator to evaluate the expression:
S12 ≈ 63,575.621
Therefore, the correct answer is:
63,575.621