The sum of the progression is 1 + x + x2 + x3 + ……
-
A.
(frac{1}{1 – x}) -
B.
(frac{1}{1 + x}) -
C.
(frac{1}{x – 1}) -
D.
(frac{1}{x})
Correct Answer: Option A
Explanation
Sum of n terms of Geometric progression is (S_{n} = frac{a(1 – r^n)}{1 – r})
In the given series, a (the first term) = 1 and r (the common ratio) = x.
(S_{n} = frac{1(1 – x^{n})}{1 – x})
a = 1, and as n tends to infinity
(S_{n} = frac{1}{1 – x})