**NCERT Solutions For Class 10 Maths Chapter 5** **PDF**: Students of Class 10 must be aware of NCERT Solutions Class 10 Maths Chapter 5 Arithmetic Progression in order to secure good marks in their board exams. So to help students with that, we have provided detailed CBSE NCERT Solutions For Class 10 Maths Chapter 5 *Arithmetic Progression* (PDF) in this article. Arithmetic Progression NCERT Solutions provided in this article are solved by experts of Embibe to help students with their Class 10 board exam preparation.

Students can also download the Arithmetic Progression Class 10 NCERT Solutions PDF for offline use. All the CBSE NCERT Questions for Class 10 Maths Chapter 5 – Arithmetic Progression comes with detailed step by step solutions. So with the help of these solutions, students can easily complete their homework and assignments on time and without any difficulty. Read on to find out more about Arithmetic Progression Class 10 notes.

**PRACTICE ARITHMETIC PROGRESSION SAMPLE QUESTIONS HERE**

## NCERT Solutions Class 10 Maths Chapter 5 Arithmetic Progression

Let us have an overview of the topics and subtopics under Chapter 8 – *Arithmetic Progression*:

5.1 | Introduction |

5.2 | Arithmetic Progressions |

5.3 | Nth Term of an AP |

5.4 | Sum of First n Terms of an AP |

5.5 | Summary |

### NCERT Solutions For Class 10 Maths Chapter 5 – Arithmetic Progression

Students can either download the **CBSE Solutions PDF for Class 10 Maths Chapter 5** from the link given below or bookmark this page to view the NCERT Solutions when required.

**Download Arithmetic Progression Solutions PDF Here**

**CBSE NCERT Solutions For Class 10 Maths Chapter 5 – Arithmetic Progression **

**Chapter Description:** An Arithmetic Progression (AP) is a sequence of numbers in which each term is obtained by adding a fixed number to the preceding term except the first term. In this chapter, students will learn the basics of AP – common difference, finite and infinite AP, nth term of an AP, the sum of first n terms of an AP, etc. Arithmetic Progression can be summarised in the following points:

- An
**Arithmetic Progression**is a sequence of numbers in which the difference between any two successive members is a constant. - When we hear the term ‘progression’ the first thing that comes in our mind is something that changes with time, like increase or decreases with time and position. Arithmetic means that the difference in the value of each subsequent term is constant.
- We also know that the sum of the members of a finite arithmetic progression is called an
**Arithmetic series.** - In 499 AD, Aryabhata, a prominent mathematician-astronomer from the classical age of Indian mathematics and Indian astronomy gave this method in the
*Aryabhatiya*(section 2.18). - According to an anecdote, young Carl Friedrich Gauss reinvented this method to compute the sum 1+2+3+…+99+100 for punishment in primary school.
- In mathematics, a
**sequence**is a list of objects (or events) that have been ordered in a sequential fashion; such that each member either comes before or after, every other member. More formally, a sequence is a function with a domain equal to the set of positive integers. - A
**series**is a sum of a sequence of terms. That is, a series is a list of numbers with addition operations between them.

NCERT Solutions For Class 10 Maths (Chapter 4) | NCERT Solutions For Class 10 Maths (Chapter 6) | NCERT Solutions For Class 10 Maths (All Chapters) |

### Benefits Of Embibe’s NCERT Solutions For Class 10 Maths

Check the benefits of following **NCERT Solutions** by Embibe below:

- All the answers in these solutions are explained in a detailed manner so that each and every student can understand the concepts easily.
- With the help of these solutions, students can learn the correct approach to solve or answer the questions.
- By using the NCERT solutions for the chapter ‘Arithmetic Progression’, students can get well versed with the important formulas and concepts.
- Embibe’s NCERT solutions include answers to all the important questions and MCQs given in the NCERT textbook.
- Students can also use these solutions to quickly revise all the concepts before the exams.

### FAQs On NCERT Solutions for Class 10 Maths Chapter 5

Some of the frequently asked questions on NCERT Solutions Class 10 Maths Chapter 5 are given below:

**Q1. The first term of a given AP is –2 and the common difference between the terms is –2. Find the first four terms.**

A. – 2, – 4, – 6, – 8

**Q2. You are given an AP -5, -10, -15,…, -1000. Find the 10th term of the AP from the end.**

A. -955

**Q3. Name the mathematician who is given the credited of finding the sum of the first 100 natural numbers.**

A. The name of the mathematician is Carl Friedrich Gauss.

**Q4. The first two terms of a given AP are –3 and 4. Determine the 21st term.**

A. 33

**Q5. Calculate the value of equation a – 4b + 6c – 4d + e if a, b, c, d, and e are in AP.**

A. 0

**Q6. You are given three values 2x, x + 10, and 3x + 2 which are in AP. Find the value of ‘x’.**

A. x = 6

### Practice & Solve 10th Math Questions With Embibe

Now you have been provided with all the necessary information regarding NCERT Solutions for Class 10 Maths Chapter 5 – Arithmetic Progression. So you can start your preparations and practice questions on Arithmetic Progression. If you get stuck on a problem, refer to the NCERT Solutions for Chapter 5 – Arithmetic Progression. We also advise you to take **Mock Tests on Arithmetic Progression** on Embibe’s learning platform for free to improve your knowledge on the topic as well as time management skills.

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