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Class 9 Mathematics Chapter 8: Predicting What Comes Next: Exploring Sequences and Progressions — practice questions with answers
Free practice for Class 9 Mathematics, Chapter 8: Predicting What Comes Next: Exploring Sequences and Progressions. Try the solved questions below, then take a free test with instant marking and explanations.
59 questions20 easy, 27 medium, 12 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. What is a sequence in mathematics?
- An ordered list of numbers (terms)
- A random collection of numbers
- A single number
- An equation
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Answer: A. An ordered list of numbers (terms)
Why: Each number is a term. [p.174, p.196]
Why: Each number is a term. [p.174, p.196]
Q2. What is the next term of the triangular numbers 1, 3, 6, 10, 15, …?
- 21
- 20
- 18
- 25
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Answer: A. 21
Why: Add 6: 15 + 6 = 21. [p.175]
Why: Add 6: 15 + 6 = 21. [p.175]
Q3. Using the explicit rule uₙ = 2n − 1 for odd numbers, what is the 53rd term?
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Answer: 105 (± 0)
Why: 2 × 53 − 1 = 105. [p.177]
Why: 2 × 53 − 1 = 105. [p.177]
Q4. A sequence is described by t₁ = 1, tₙ = tₙ₋₁ + 3 for n ≥ 2. What kind of rule is this?
- A recursive rule
- An explicit rule
- A random rule
- A geometric rule only
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Answer: A. A recursive rule
Why: It relates each term to the previous one. [p.178]
Why: It relates each term to the previous one. [p.178]
Q5. Write the first four terms of t₁ = 1, tₙ = tₙ₋₁ + 3.
- 1, 4, 7, 10
- 1, 3, 9, 27
- 3, 6, 9, 12
- 1, 2, 3, 4
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Answer: A. 1, 4, 7, 10
Why: Each term is 3 more than the previous. [p.178]
Why: Each term is 3 more than the previous. [p.178]
Q6. In the Virahānka–Fibonacci sequence 1, 2, 3, 5, 8, 13, …, how is each term formed?
- By adding the previous two terms
- By doubling the previous term
- By adding 2 each time
- By squaring the term number
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Answer: A. By adding the previous two terms
Why: Vₙ = Vₙ₋₁ + Vₙ₋₂. [p.179]
Why: Vₙ = Vₙ₋₁ + Vₙ₋₂. [p.179]
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Frequently asked questions
How many practice questions are there for Class 9 Mathematics Chapter 8: Predicting What Comes Next: Exploring Sequences and Progressions?
59 questions (20 easy, 27 medium, 12 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 9 Mathematics syllabus, used by CBSE and many state boards.