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MATHEMATICS

JAMB 2013 - Question 39

Mathematics 2013 JAMB Past Questions - Question 39: The sum of the progression is 1 + x + x2 + x3 + ......

The sum of the progression is 1 + x + x2 + x3 + ......

A: 1/1−x

B: 1/1+x

C: 1/x−1

D: 1/x

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Correct Answer

Explanation

Sum of n terms of Geometric progression is Sn=a(1−r^n)/1−rIn the given series, a (the first term) = 1 and r (the common ratio) = x.Sn=1(1−x^n)/1−xa = 1, and as n tends to infinitySn=1/1−x