Sequences and Progressions End of Chapter Class 9 Maths Solutions

The Sequences and Progressions End-of-Chapter set mixes AP and GP in one place. These NCERT Solutions Class 9 Maths Chapter 8 Sequences and Progressions End of Chapter answers solve the harder problems, word problems, and proofs, with every step shown so a Class 9 student can follow each line.

• Questions solved: all 15 End-of-Chapter problems, each with full steps.
• Main skill: mix the AP rule t_n = a + (n-1)d and the GP rule t_n = a r ^n-1.
• Chapter link: this set pulls together every idea from Exercises 8.1 to 8.3.

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 End of Chapter Cover?

The End-of-Chapter set is the final practice for the chapter. It blends AP and GP, so you must first spot which type each question uses. You then find a, d or r, and the required term or sum. Some questions give two terms and ask you to build the whole progression. Others are word problems on bacteria and natural numbers, or short proofs. This set is the best way to get ready for the Class 9 annual exam.

Video Walkthrough

Source: Physics Wallah Foundation on YouTube

Sequences and Progressions End-of-Chapter Question Breakdown

The set has 15 questions. The list below groups them so you can see the spread.

• AP terms and difference: find a term from two known terms, and build an AP from given terms.
• Counting and sums: three-digit numbers divisible by 7, multiples of 4, and sums of natural numbers.
• GP problems: find a GP from term facts, and find which term of a GP equals a large value.
• Word problems: doubling bacteria growth and expressing 100 as a sum of consecutive numbers.
• Proof and recursion: relate the 4th, 10th, and 16th GP terms, and use recursive rules.

Sample Solved Question from the End-of-Chapter Set

Here is Question 1 from the End-of-Chapter set, solved step by step, so you can see the method.

Question: Find the 31st term of an AP whose 11th term is 38 and 16th term is 73.

Step 1. Write the two facts using t_n = a + (n-1)d: a + 10d = 38 and a + 15d = 73.

Step 2. Subtract the first from the second: (a + 15d) - (a + 10d) = 73 - 38, so 5d = 35 and d = 7.

Step 3. Find a from a + 10d = 38: a + 70 = 38, so a = -32.

Step 4. Find the 31st term: t₃₁ = a + 30d = -32 + 30(7) = -32 + 210 = 178.

Final answer. The 31st term is 178.

How to Use These Sequences and Progressions End-of-Chapter Solutions

Attempt each mixed question first, then use the Collegedunia solution to check your method and answer. This set is where you learn to choose the right rule under exam pressure.

• Decide AP or GP before you write any formula.
• Set up two equations when two terms are given, then subtract.
• Re-solve the word problems slowly to read the pattern correctly.

More Class 9 Maths Sequences and Progressions Solutions

Use the table below to open the full chapter page or any single exercise of this chapter.