UPSC Exam  >  UPSC Videos  >  CSAT Preparation  >  Sum to Infinite (G.P.): Algebra, Quantitative Reasoning

Sum to Infinite (G.P.): Algebra, Quantitative Reasoning Video Lecture | CSAT Preparation - UPSC

207 videos|156 docs|192 tests

FAQs on Sum to Infinite (G.P.): Algebra, Quantitative Reasoning Video Lecture - CSAT Preparation - UPSC

1. What is a geometric progression (G.P.)?
Ans. A geometric progression (G.P.) is a sequence of numbers in which each term is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
2. How do you find the sum to infinity of a geometric progression?
Ans. To find the sum to infinity (S∞) of a geometric progression (G.P.), you need to determine whether the common ratio (r) is between -1 and 1. If it is, you can use the formula S∞ = a / (1 - r), where 'a' is the first term of the G.P.
3. What happens if the common ratio of a geometric progression is greater than 1?
Ans. If the common ratio (r) of a geometric progression (G.P.) is greater than 1, the G.P. will diverge to infinity. This means there is no finite sum to infinity for such G.P.
4. Can the sum to infinity of a geometric progression be negative?
Ans. No, the sum to infinity (S∞) of a geometric progression (G.P.) cannot be negative. The sum will either be a positive finite value, zero (if the common ratio is 1), or it will diverge to infinity (if the common ratio is greater than 1).
5. What is the formula for finding the nth term of a geometric progression?
Ans. The formula for finding the nth term of a geometric progression (G.P.) is given by the formula an = a * r^(n-1), where 'an' represents the nth term, 'a' is the first term, 'r' is the common ratio, and 'n' is the position of the term in the sequence.
207 videos|156 docs|192 tests
Explore Courses for UPSC exam

How to Prepare for UPSC

Read our guide to prepare for UPSC which is created by Toppers & the best Teachers
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Download the FREE EduRev App
Track your progress, build streaks, highlight & save important lessons and more!
Related Searches

Sum to Infinite (G.P.): Algebra

,

pdf

,

past year papers

,

Sum to Infinite (G.P.): Algebra

,

mock tests for examination

,

Quantitative Reasoning Video Lecture | CSAT Preparation - UPSC

,

Summary

,

ppt

,

practice quizzes

,

Previous Year Questions with Solutions

,

MCQs

,

Semester Notes

,

Sum to Infinite (G.P.): Algebra

,

Quantitative Reasoning Video Lecture | CSAT Preparation - UPSC

,

study material

,

Quantitative Reasoning Video Lecture | CSAT Preparation - UPSC

,

Important questions

,

Objective type Questions

,

Free

,

Exam

,

Sample Paper

,

video lectures

,

shortcuts and tricks

,

Viva Questions

,

Extra Questions

;