Option D. -510.
We are given the variable values:
a = -2
r = 2
n = 8
Geometric series formula:
s = a(rⁿ × -1 )/ r - 1
Plugging in values we have:
s = -2 ( 2₈ - 1 )/ 2 - 1
Simplifying the equation we are left with:
-2 (255)/ 1 = -510.
Which is the geometric series?
geometric series, in mathematics, an infinite series of the form a + ar + ar2 + ar3+, where r is known as the common ratio. A simple example is the geometric series for a = 1 and r = 1/2, or 1 + 1/2 + 1/4 + 1/8 +, which converges to a sum of 2 (or 1 if the first term is excluded).
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