Class 10 Maths Chapter 5 Arithmetic Progression Most Important Questions By PW

Physics Wallah provides an exam-oriented set of Most Important Questions for Class 10 Maths Chapter 5 – Arithmetic Progressions, aligned with common exam patterns. Covering key topics and solving application-based word problems, this collection supports focused preparation.

Practising these questions helps improve conceptual clarity, ensure correct application of formulas, and enhance accuracy. With consistent practice, you can strengthen problem-solving skills, revise more effectively, and approach Arithmetic Progression questions with greater confidence in the Class 10 board examination.

Q1. Find the 12th, 24th, and nth term of the A.P. given by
9, 13, 17, 21, 25, ...

A) a₁₂ = 53, aₙ = 4n + 5, a₂₄ = 101
B) a₁₂ = 49, a₂₄ = 97, aₙ = 4n + 1
C) a₁₂ = 57, aₙ = 4n + 9, a₂₄ = 105
D) a₁₂ = 51, a₂₄ = 99, aₙ = 4n + 3

Correct option: A)  a₁₂ = 53, aₙ = 4n + 5, a₂₄ = 101

Q2. Which term of the sequence −1, 3, 7, 11, ... is 95?

A) 20th
B) 23rd
C) 25th
D) 27th

Correct option: C) 25th

Q3. How many terms are there in the sequence 3, 6, 9, 12, ..., 111?

A) 35
B) 36
C) 37
D.)38

Correct option: C) 37

Q4. Find the sum of the first 30 terms of an A.P. whose second term is 2 and seventh term is 22.

A) 1680
B) 160
C) 1730
D) None of the above

Correct option: A) 1680

Q5. Find the sum of the first n natural numbers.

A) n(n + 1) / 2
B) n(n − 1) / 2
C) n² / 2
D) n(n + 2) / 2

Correct option: A) n(n + 1) / 2

Q6. Solve the equation:
      1 + 4 + 7 + 10 + ... + x = 287

A) 36
B) 38
C) 40
D) 42
Correct option: C) 40

For more MIQs with step-by-step solutions and explanations: 

This set of important questions by PW serves as a practical resource for revising Arithmetic Progressions effectively. It emphasises key concepts, formula-based problems, and commonly asked exam patterns from the syllabus. By practising these questions, you can improve accuracy, develop better problem-solving speed, and gain confidence in tackling different types of questions from this chapter in the Class 10 board examination.