Class 9 Maths Chapter 8 MCQs with Answers – Exploring Sequences and Progressions

Class 9 Maths Chapter 8 MCQs

15 MCQs for Class 9 Maths Chapter 8 – Exploring Sequences and Progressions

Question 1. What is the next number in the sequence 2, 4, 6, 8, ___?

A. 9

B. 10

C. 12

D. 14

Question 2. Find the next term: 5, 10, 15, 20, ___

A. 22

B. 24

C. 25

D. 30

Question 3. What is the common difference in the sequence 3, 7, 11, 15, …?

A. 2

B. 3

C. 4

D. 5

Question 4. Which number comes next: 1, 4, 9, 16, ___?

A. 20

B. 24

C. 25

D. 36

Question 5. Find the next term: 2, 4, 8, 16, ___

A. 20

B. 24

C. 30

D. 32

Question 6. What is the 6th term of the sequence 4, 7, 10, 13, …?

A. 16

B. 19

C. 20

D. 22

Question 7. Find the missing number: 10, 20, ___, 40, 50

A. 25

B. 30

C. 35

D. 45

Question 8. What is the next term in the sequence 1, 1, 2, 3, 5, 8, ___?

A. 11

B. 12

C. 13

D. 15

Question 9. Which sequence has a common difference of 5?

A. 2, 4, 8, 16, …

B. 1, 6, 11, 16, …

C. 3, 6, 12, 24, …

D. 1, 4, 9, 16, …

Question 10. What is the next number in the sequence 100, 90, 80, 70, ___?

A. 65

B. 60

C. 55

D. 50

Question 11. If the nth term of a sequence is 3n + 2, what is its 4th term?

A. 10

B. 12

C. 14

D. 16

Question 12. Which of the following is an arithmetic sequence?

A. 2, 4, 8, 16, …

B. 1, 3, 5, 7, …

C. 1, 4, 9, 16, …

D. 1, 2, 4, 8, …

Question 13. What is the next term in the sequence 81, 27, 9, 3, ___?

A. 0

B. 1

C. 2

D. 6

Question 14. A pattern starts with 7 and adds 4 each time. What is its 5th term?

A. 19

B. 21

C. 23

D. 27

Question 15. What is the sum of the first five positive even numbers?

A. 20

B. 25

C. 30

D. 35

Answer Key – Class 9 Maths Chapter 8 MCQs

Answer Key with Explanations – Class 9 Maths Chapter 8

Question 1 — Correct Answer: B. 10

Each term increases by 2. Therefore, 8 + 2 = 10.

Question 2 — Correct Answer: C. 25

Each term increases by 5. Therefore, 20 + 5 = 25.

Question 3 — Correct Answer: C. 4

The difference between consecutive terms is 7 − 3 = 4 and 11 − 7 = 4.

Question 4 — Correct Answer: C. 25

The terms are squares of consecutive positive integers: 1², 2², 3², 4². The next term is 5² = 25.

Question 5 — Correct Answer: D. 32

Each term is multiplied by 2. Therefore, 16 × 2 = 32.

Question 6 — Correct Answer: B. 19

The sequence increases by 3. Its terms are 4, 7, 10, 13, 16, 19. The sixth term is 19.

Question 7 — Correct Answer: B. 30

The sequence increases by 10 each time. Therefore, the missing number is 30.

Question 8 — Correct Answer: C. 13

Each term after the first two is the sum of the previous two terms. Therefore, 5 + 8 = 13.

Question 9 — Correct Answer: B. 1, 6, 11, 16, …

The difference between consecutive terms is always 5.

Question 10 — Correct Answer: B. 60

Each term decreases by 10. Therefore, 70 − 10 = 60.

Question 11 — Correct Answer: C. 14

Substitute n = 4 into 3n + 2: 3 × 4 + 2 = 14.

Question 12 — Correct Answer: B. 1, 3, 5, 7, …

An arithmetic sequence has a constant difference between consecutive terms. Here, the difference is 2.

Question 13 — Correct Answer: B. 1

Each term is divided by 3. Therefore, 3 ÷ 3 = 1.

Question 14 — Correct Answer: C. 23

Starting at 7 and adding 4 repeatedly gives 7, 11, 15, 19, 23. The fifth term is 23.

Question 15 — Correct Answer: C. 30

The first five positive even numbers are 2, 4, 6, 8 and 10. Their sum is 2 + 4 + 6 + 8 + 10 = 30.

Quick Revision

• Sequence: An ordered list of numbers following a rule.
• Arithmetic sequence: A sequence with a constant difference between consecutive terms.
• Common difference: The difference between a term and the preceding term.
• Square numbers: 1, 4, 9, 16, 25, …
• Fibonacci-style pattern: Each term is the sum of the two preceding terms.

Want More Practice?

Improve your pattern-recognition skills with our Class 9 Maths Chapter 8 Worksheet — 50 MCQs from Science World By Tushar Sir

Class 9 Maths · Chapter 8

• Practise additional sequence and pattern questions.
• Revise important concepts and rules.
• Check your answers using the answer key.
• Download the worksheet PDF for convenient practice