PRC-2 · Chapter 3 · Question 30 of 45
Under what strict mathematical condition does an infinite geometric progression possess a calculable, finite sum?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) When the absolute value of the common ratio 'r' is strictly less than 1 (-1 < r < 1).
Explanation
A geometric series converges (approaches a finite sum) as n approaches infinity only if its common ratio 'r' is a fraction between -1 and 1. Otherwise, the sum grows infinitely large.
More Mathematical Progression MCQs
- Q32What is the standard formula for the n-th term (Tn) of an Arithmetic Progression?
- Q33In a Geometric Progression (GP), the ratio between any two consecutive terms is always:
- Q34What is the standard formula for the n-th term (Tn) of a Geometric Progression?
- Q35The sum of the first 10 terms of an AP starting with 2 and having a common difference of 3 is:
- Q36Which of the following describes a 'Convergent' Geometric Series?