The NCERT Solutions Class 9 Maths Chapter 8 Sequences and Progressions solve every question from the new Ganita Manjari book. This is the last chapter of the 2026-27 syllabus. It teaches you how a list of numbers follows a rule, and how to find any term you want.

  • Exercises solved: Exercise 8.1, Exercise 8.2, Exercise 8.3, and all 15 End-of-Chapter problems
  • Main skills: finding the nth term, working with AP, and working with GP
  • Why it matters: it builds the base for progressions and series in Class 10

These solutions are prepared by subject teachers, matched to the current 2026-27 NCERT, and checked step by step so a Class 9 student can follow each line.

What Does Class 9 Maths Chapter 8 Sequences and Progressions Cover?

A sequence is just a list of numbers written in order by a rule. The chapter shows how to write the nth term tn, and how to test if a number belongs to a sequence. It then studies two special types. An Arithmetic Progression, or AP, adds a fixed number each time. A Geometric Progression, or GP, multiplies by a fixed number each time. The NCERT Solutions Class 9 Maths Chapter 8 Sequences and Progressions then use these rules to find terms and sums.

Video Walkthrough

Source: Physics Wallah Foundation on YouTube

Class 9 Maths Chapter 8 Sequences and Progressions Exercise-Wise Breakdown

The chapter has three exercise sets and one long End-of-Chapter set. The table below shows what each part asks, so you can plan your practice.

ExerciseQuestionsWhat it covers
Exercise 8.16Sequences and finding the nth term from a rule
Exercise 8.27Arithmetic Progressions: nth term and sum
Exercise 8.37Geometric Progressions: nth term and ratio
End-of-Chapter Exercises15Mixed AP and GP, word problems, and proofs

Common Mistakes Students Make in Sequences and Progressions

Most errors in this chapter come from mixing up the two rules. Fix these early and your marks stay safe.

Watch Out: Students use the AP formula on a GP by mistake. An AP adds the common difference, but a GP multiplies by the common ratio, so the wrong formula gives a wrong term.
  • Counting the first term as term zero instead of term one.
  • Using n in place of n-1 in the nth term formula.
  • Forgetting to check the sign of the common difference in a falling AP.

Sample Solved Question from Class 9 Maths Chapter 8

Here is one Exercise 8.2 question, solved step by step, so you can see the method.

Question: Find the 10th and 26th terms of the AP: 3, 8, 13, 18,

Step 1. Write down the first term and the common difference. Here a = 3 and d = 8 - 3 = 5.

Step 2. Use the nth term formula tn = a + (n-1)d.

Step 3. For the 10th term, put n = 10: t10 = 3 + 9 × 5 = 48.

Step 4. For the 26th term, put n = 26: t26 = 3 + 25 × 5 = 128.

Final answer. The 10th term is 48 and the 26th term is 128.

Quick Tip: Always find a and d first. Once you have both, any term is one line of work.

How to Study Sequences and Progressions and Time Needed

This chapter is more about rules than diagrams. Learn the two formulas well and the rest follows. Start with Exercise 8.1, then use the NCERT Solutions Class 9 Maths Chapter 8 Sequences and Progressions to check your AP and GP answers.

Revision mode

2-3 hours

If you have done this chapter once and are revising.

First-read

5-7 hours

If you are reading Sequences and Progressions for the first time.

How will Collegedunia's NCERT Solutions Help You with Sequences and Progressions?

Collegedunia gives you the full NCERT Solutions Class 9 Maths Chapter 8 Sequences and Progressions as clean, step-by-step answers in one place.

  • 2026-27 Ganita Manjari match: Every answer follows the new book, not the old chapter list.
  • Full working shown: Each step is written out, so you never guess how a line was reached.
  • Teacher checked: Subject experts verify each term, ratio, and sum.
  • Free PDF: Download the solutions and revise offline before your exam.

More Sequences and Progressions Maths Class 9 Resources

NCERT Solutions for Class 9 Maths: All Chapters

Use the table below to open the NCERT Solutions for any other chapter of the new Class 9 Maths book.

Sequences and Progressions Class 9 Maths NCERT Solutions FAQs

Ques. Where can I download Sequences and Progressions Class 9 Maths NCERT Solutions PDF?

Ans. You can download the Sequences and Progressions Class 9 Maths NCERT Solutions PDF directly from this page. Both the Normal and HD versions are free.

Ques. Is this chapter part of the new Class 9 Maths book?

Ans. Yes. Sequences and Progressions is Chapter 8, the last chapter of the new Ganita Manjari book for the 2026-27 syllabus.

Ques. How many exercises are there in Class 9 Maths Chapter 8?

Ans. There are three exercise sets, 8.1, 8.2, and 8.3, and a set of 15 End-of-Chapter problems. Collegedunia solves all of them.

Ques. What is the difference between an AP and a GP?

Ans. An AP adds the same number to each term, called the common difference. A GP multiplies each term by the same number, called the common ratio.

Ques. What is the main formula used in this chapter?

Ans. The key formula is the nth term of an AP, tn = a + (n-1)d, where a is the first term and d is the common difference.