PRC-2 · Chapter 3 · Question 36 of 45
Which of the following describes a 'Convergent' Geometric Series?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) A GP where the common ratio r is perfectly between -1 and 1.
Explanation
Only when the absolute value of 'r' is less than 1 will the terms get smaller and smaller, allowing the sum to 'converge' to a specific finite number.
More Mathematical Progression MCQs
- Q38If the 1st term of an AP is 5 and the 10th term is 32, what is the common difference (d)?
- Q39What is the common ratio (r) of the GP: 100, 50, 25...?
- Q40The sequence 5, 10, 20, 40... is an example of a/an:
- Q41In the GP formula for the sum of 'n' terms, if r > 1, the formula used is:
- Q42What is the sum of the first 5 terms of the GP: 3, 6, 12...?