Sequences and Progressions Exercise 8.1 Class 9 Maths Solutions

The Sequences and Progressions Exercise 8.1 set is the first practice group in the new Ganita Manjari book. These NCERT Solutions Class 9 Maths Chapter 8 Sequences and Progressions Exercise 8.1 answers show how a list of numbers follows a rule, and how to find any term you want from that rule.

• Questions solved: all 6 problems of Exercise 8.1, each with full steps.
• Main skill: read a sequence rule and find the nth term.
• Chapter link: this set builds the base for the AP and GP work in later exercises.

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 Exercise 8.1 Cover?

Exercise 8.1 introduces the idea of a sequence. A sequence is a list of numbers set in order by a rule. You learn to write the nth term t_n, find early terms, and test if a given number belongs to a sequence. Some questions also use a recursive rule, where each term depends on the terms before it. The work here is about reading rules correctly, not about AP or GP yet. Getting these basics right makes the rest of the chapter far easier, and it is common in the Class 9 annual exam.

Video Walkthrough

Source: Physics Wallah Foundation on YouTube

Sequences and Progressions Exercise 8.1 Question Breakdown

The exercise has 6 questions. The list below shows what each one asks, so you can plan your practice.

• Q1: Find the first five terms of a sequence from its nth term rule.
• Q2: Find the 10th and 15th terms of t_n = 5n - 3.
• Q3: Check whether 97 and 172 are terms of a given sequence.
• Q4: Find which term of t_n = 5n - 3 equals 607.
• Q5: Work out terms from a recursive rule with a starting value.
• Q6: Build terms from a three-step recursive rule.

Sample Solved Question from Exercise 8.1

Here is Question 2 from Exercise 8.1, solved step by step, so you can see the method.

Question: Find the 10th and 15th terms of the sequence t_n = 5n - 3 for n ≥ 1.

Step 1. With an explicit rule, you put the position number in place of n. You do not need to list the earlier terms.

Step 2. For the 10th term, put n = 10: t₁₀ = 5(10) - 3 = 50 - 3 = 47.

Step 3. For the 15th term, put n = 15: t₁₅ = 5(15) - 3 = 75 - 3 = 72.

Final answer. The 10th term is 47 and the 15th term is 72.

How to Use These Sequences and Progressions Exercise 8.1 Solutions

Try each question on your own first, then open the Collegedunia solution to check your steps. This way you spot the exact line where a slip happens. These solutions form a strong foundation for the progressions and series you meet in Class 10.

• Read the rule slowly and mark what n stands for before you substitute.
• Match your working line by line with the steps shown here.
• Redo any question you missed after two days to lock in the method.

More Class 9 Maths Sequences and Progressions Solutions

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