CAT Exam  >  CAT Videos  >  Crash Course for CAT  >  Sequence & Series- Basics

Sequence & Series- Basics Video Lecture | Crash Course for CAT

796 videos|1 docs|32 tests

Top Courses for CAT

FAQs on Sequence & Series- Basics Video Lecture - Crash Course for CAT

1. What is the difference between a sequence and a series?
Ans. A sequence is a list of numbers following a specific pattern, while a series is the sum of the terms in a sequence.
2. How do you find the nth term of a sequence?
Ans. To find the nth term of a sequence, you can use a formula such as \(a_n = a_1 + (n-1)d\) for an arithmetic sequence or \(a_n = a_1 \times r^{n-1}\) for a geometric sequence.
3. What is the sum of an arithmetic series?
Ans. The sum of an arithmetic series can be calculated using the formula \(S_n = \frac{n}{2}(a_1 + a_n)\), where \(S_n\) is the sum of the first n terms, \(a_1\) is the first term, and \(a_n\) is the nth term.
4. How do you determine if a series converges or diverges?
Ans. A series converges if the sequence of partial sums approaches a finite value, while it diverges if the sequence of partial sums does not approach a finite value.
5. Can you have an infinite sequence that does not form a series?
Ans. Yes, an infinite sequence may not form a series if the terms do not have a specific pattern or if the sum of the terms diverges to infinity.
796 videos|1 docs|32 tests
Explore Courses for CAT exam
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
Related Searches

practice quizzes

,

video lectures

,

shortcuts and tricks

,

Sample Paper

,

Exam

,

Important questions

,

Sequence & Series- Basics Video Lecture | Crash Course for CAT

,

pdf

,

study material

,

mock tests for examination

,

MCQs

,

Sequence & Series- Basics Video Lecture | Crash Course for CAT

,

Previous Year Questions with Solutions

,

Objective type Questions

,

Free

,

ppt

,

Viva Questions

,

past year papers

,

Semester Notes

,

Summary

,

Sequence & Series- Basics Video Lecture | Crash Course for CAT

,

Extra Questions

;