Mathematics Exam > Mathematics Videos > Algebra > Introduction to Series
Introduction to Series Video Lecture | Algebra - Mathematics
|
161 videos|58 docs
|
FAQs on Introduction to Series Video Lecture - Algebra - Mathematics
| 1. What is a series in mathematics? |  |
A series in mathematics is the sum of the terms of a sequence. It is a way to add up an infinite number of terms or a finite number of terms in a specific order. The terms of a series can be positive, negative, or zero, and they can follow a pattern or be completely random.
| 2. What is the difference between an arithmetic series and a geometric series? | |
An arithmetic series is a series in which each term is obtained by adding a constant difference to the previous term. In other words, the terms of an arithmetic series form an arithmetic progression.
On the other hand, a geometric series is a series in which each term is obtained by multiplying the previous term by a constant ratio. In other words, the terms of a geometric series form a geometric progression.
| 3. How can I determine the sum of an arithmetic series? | |
To determine the sum of an arithmetic series, you can use the formula:
S = (n/2)(a + l),
where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term.
Alternatively, you can use the formula:
S = (n/2)(2a + (n-1)d),
where d is the common difference between the terms.
| 4. How can I determine the sum of a geometric series? | |
To determine the sum of a geometric series, you can use the formula:
S = a(1 - r^n) / (1 - r),
where S is the sum of the series, a is the first term, r is the common ratio between the terms, and n is the number of terms.
If the common ratio r is between -1 and 1, and the number of terms n approaches infinity, you can use the formula:
S = a / (1 - r).
| 5. Can a series have an infinite sum? | |
Yes, a series can have an infinite sum. This means that the sum of its terms goes to infinity as the number of terms increases. An example of an infinite series is the harmonic series:
1 + 1/2 + 1/3 + 1/4 + ...
However, not all series have an infinite sum. Some series have a finite sum, meaning that the sum of their terms is a specific number.
Related Exams
About this Video
|
4.90/5 Rating |
|
Nov 09, 2024 Last updated |
Video Description: Introduction to Series for Mathematics 2024 is part of Algebra preparation.
The notes and questions for Introduction to Series have been prepared according to the Mathematics exam syllabus.
Information about Introduction to Series covers all important topics for Mathematics 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Introduction to Series.
Introduction of Introduction to Series in English is available as part of our Algebra for Mathematics & Introduction to Series in
Hindi for Algebra course. Download more important topics related with notes, lectures and mock test series for
Mathematics Exam by signing up for free.
Description
Video Lecture & Questions for Introduction to Series Video Lecture | Algebra - Mathematics - Mathematics full syllabus preparation | Free video for Mathematics exam to prepare for Algebra.
Information about Introduction to Series
Here you can find the meaning of Introduction to Series defined & explained in the simplest way possible.
Besides explaining types of Introduction to Series theory, EduRev gives you an ample number of questions to practice Introduction to Series tests,
examples and also practice Mathematics tests.
|
161 videos|58 docs
|
|
Explore Courses for Mathematics exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Introduction to Series Video Lecture | Algebra - Mathematics
,MCQs
,past year papers
,Objective type Questions
,practice quizzes
,Introduction to Series Video Lecture | Algebra - Mathematics
,Free
,study material
,shortcuts and tricks
,Summary
,Introduction to Series Video Lecture | Algebra - Mathematics
,Exam
,ppt
,Previous Year Questions with Solutions
,Semester Notes
,Sample Paper
,Viva Questions
,video lectures
,mock tests for examination
,Extra Questions
,Important questions
;
Study Introduction to Series on the App
Students of Mathematics can study Introduction to Series alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Introduction to Series,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Introduction to Series is prepared as per the latest Mathematics syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup