CBSE Class 10 > Class 10 Videos > Mathematics (Maths) > Arithmetic Progressions
Arithmetic Progressions Video Lecture - (Maths) Class 10
FAQs on Arithmetic Progressions
| 1. What is an arithmetic progression (AP)? |  |
Ans. An arithmetic progression (AP) is a sequence of numbers in which the difference between consecutive terms is constant. This constant difference is known as the common difference, denoted by 'd'. For example, in the sequence 2, 5, 8, 11, the common difference is 3.
| 2. How do you find the nth term of an arithmetic progression? | |
Ans. The nth term of an arithmetic progression can be found using the formula: aₙ = a + (n - 1)d, where 'a' is the first term, 'd' is the common difference, and 'n' is the term number. For instance, if a = 2 and d = 3, the 5th term can be calculated as a₅ = 2 + (5 - 1) × 3 = 14.
| 3. What is the formula for the sum of the first n terms of an arithmetic progression? | |
Ans. The sum of the first n terms of an arithmetic progression is given by the formula: Sₙ = n/2 × (2a + (n - 1)d), where 'Sₙ' is the sum of the first n terms, 'a' is the first term, 'd' is the common difference, and 'n' is the number of terms to be added. This formula helps in calculating the total sum efficiently.
| 4. Can you provide an example of an arithmetic progression? | |
Ans. An example of an arithmetic progression is the sequence 4, 7, 10, 13, 16. In this sequence, the first term (a) is 4 and the common difference (d) is 3. Each term is obtained by adding 3 to the previous term.
| 5. How can you determine if a sequence is an arithmetic progression? | |
Ans. To determine if a sequence is an arithmetic progression, calculate the difference between consecutive terms. If this difference remains constant throughout the sequence, then it is an arithmetic progression. For example, in the sequence 10, 15, 20, 25, the differences (5) are the same, confirming it as an AP.
About this Video
4.69/5 Rating
Apr 17, 2026 Last updated
Video Description: Arithmetic Progressions for Class 10 2026 is part of Mathematics (Maths) Class 10 preparation. The notes and questions for Arithmetic Progressions have been prepared according to the Class 10 exam syllabus. Information about Arithmetic Progressions covers all important topics for Class 10 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Arithmetic Progressions.
Introduction of Arithmetic Progressions in English is available as part of our Mathematics (Maths) Class 10 for Class 10 & Arithmetic Progressions in Hindi for Mathematics (Maths) Class 10 course. Download more important topics related with notes, lectures and mock test series for Class 10 Exam by signing up for free.
Description
Video: Arithmetic Progressions of Maths Class 10 have been curated by the Class 10 experts, helping you revise the topic quickly for exam preparation. Watch on EduRev.
Information about Arithmetic Progressions
Here you can find the meaning of Arithmetic Progressions defined & explained in the simplest way possible. Besides explaining types of Arithmetic Progressions theory, EduRev gives you an ample number of questions to practice Arithmetic Progressions tests, examples and also practice Class 10 tests.
Related Searches
Semester Notes, past year papers, Viva Questions, ppt, Sample Paper, Arithmetic Progressions, Arithmetic Progressions, Exam, Free, video lectures, practice quizzes, mock tests for examination, Arithmetic Progressions, MCQs, Previous Year Questions with Solutions, Objective type Questions, Summary, shortcuts and tricks, Important questions, pdf , study material, Extra Questions;