UPSC Exam  >  UPSC Videos  >  CSAT Preparation  >  Geometric, Mixed & Alternate Series

Geometric, Mixed & Alternate Series Video Lecture | CSAT Preparation - UPSC

207 videos|156 docs|192 tests

FAQs on Geometric, Mixed & Alternate Series Video Lecture - CSAT Preparation - UPSC

1. What is a geometric series?
Ans. A geometric series is a sequence of numbers in which each term after the first is found by multiplying the previous term by a constant. For example, 2, 4, 8, 16 is a geometric series with a common ratio of 2.
2. How can I find the sum of a geometric series?
Ans. The sum of a geometric series can be found using the formula S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio. Make sure that the absolute value of r is less than 1 for the formula to be valid.
3. What is a mixed series?
Ans. A mixed series is a sequence of numbers that alternates between two different patterns. For example, 1, 3, 2, 6, 4, 12 is a mixed series where the odd terms follow a geometric pattern (multiply by 3) and the even terms follow a different pattern (multiply by 2).
4. How can I find the sum of a mixed series?
Ans. Finding the sum of a mixed series can be more challenging than a regular geometric series. You need to separately find the sums of the two different patterns and then add them together. You can use the formulas for geometric series or use algebraic manipulations to find the sums.
5. What is an alternate series?
Ans. An alternate series is a sequence of numbers where the terms alternate between positive and negative. For example, 1, -2, 3, -4, 5, -6 is an alternate series. The signs of the terms can follow a specific pattern or be randomly assigned.
207 videos|156 docs|192 tests

Timeline

00:00 Introduction
00:54 Geometric Series
04:58 Mixed Series
07:51 Arithmetico-Geometric
09:31 Alternate Series
11:58 Question 1
14:00 Question 2
15:46 Question 3
More
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

Viva Questions

,

Important questions

,

Mixed & Alternate Series Video Lecture | CSAT Preparation - UPSC

,

pdf

,

Geometric

,

Objective type Questions

,

mock tests for examination

,

ppt

,

shortcuts and tricks

,

Extra Questions

,

Previous Year Questions with Solutions

,

Geometric

,

Mixed & Alternate Series Video Lecture | CSAT Preparation - UPSC

,

MCQs

,

Semester Notes

,

Mixed & Alternate Series Video Lecture | CSAT Preparation - UPSC

,

Exam

,

past year papers

,

Geometric

,

Sample Paper

,

Summary

,

Free

,

study material

,

video lectures

,

practice quizzes

;