The sum of an in finite G.P. is , where 'r' is
A)Numerically less than 1
B)Equal to 1
C)± 1
D)Any value

Name: The sum of an in finite G.P. is , where 'r' is A)Numerically less than 1 B)Equal to 1 C)± 1 D)Any value
Brand: Quizplus
Rating: 4.7 (30 reviews)

Question

Quizplus · Accepted Answer

The sum of an infinite geometric progression (G.P.) exists and is finite only when the common ratio 'r' is numerically less than 1 (i.e., -1 < r < 1). This condition ensures that the terms of the series approach zero, allowing the sum to converge to a finite value.

The Sum of an in Finite G