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CBSE Class 9 Sequences and Progressions — practice questions

Explore 55 free Sequences and Progressions questions in CBSE Class 9 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Sequences and Progressions questions and exercises with answers

Showing questions 1–30 of 55.

A list of numbers arranged in a particular order is called a:Read the answer and worked solution →The 5th term (t₅) of the sequence of odd numbers 1, 3, 5, 7, ... is:Read the answer and worked solution →The 6th triangular number is:Read the answer and worked solution →If the explicit rule for a sequence is uₙ = 3n + 2, find u₁₀:Read the answer and worked solution →Which of the following is a sequence with COMMON DIFFERENCE 4?Read the answer and worked solution →For the sequence 7, 12, 17, 22, …, what is the 20th term?Read the answer and worked solution →What is the explicit rule (formula) for the nth term of the sequence 4, 7, 10, 13, …?Read the answer and worked solution →What is the SUM of the first 10 natural numbers (1 + 2 + 3 + … + 10)?Read the answer and worked solution →In the sequence 1, 4, 7, 10, 13, …, what is the SUM of the first 5 terms?Read the answer and worked solution →In a sequence, t₅ = 17 and t₁₀ = 37. If it is arithmetic, what is the common difference?Read the answer and worked solution →Find the sum: 1 + 3 + 5 + 7 + … + 99 (first 50 odd numbers):Read the answer and worked solution →As per your syllabus, Math, what is a SEQUENCE?Read the answer and worked solution →As per your syllabus, the sequence 1, 3, 6, 10, 15, 21,... is called what?Read the answer and worked solution →As per your syllabus, the sequence 1, 4, 9, 16, 25, 36,... consists of which numbers?Read the answer and worked solution →As per your syllabus, the explicit rule tₙ = 2n − 1 generates which sequence?Read the answer and worked solution →As per your syllabus, what is the next term after 1, 4, 7, 10, 13 — using the recursive rule tₙ = tₙ₋₁ + 3?Read the answer and worked solution →As per your syllabus, the VIRAHĀNKA-FIBONACCI sequence is defined by V₁ = 1, V₂ = 2, Vₙ = Vₙ₋₁ + Vₙ₋₂. What are the first six terms?Read the answer and worked solution →As per your syllabus, what does the notation tₙ in a sequence represent?Read the answer and worked solution →As per your syllabus, in the AP 3, 8, 13, 18,... what is the COMMON DIFFERENCE?Read the answer and worked solution →As per your syllabus, the nth term of an AP with first term a and common difference d is given by which formula?Read the answer and worked solution →As per your syllabus, what is the 10th term of the AP 3, 8, 13, 18,...?Read the answer and worked solution →As per your syllabus, the AP 21, 18, 15,... has common difference −3. Which term is −81?Read the answer and worked solution →As per your syllabus, the nth term of the AP 11, 8, 5, 2,... is given by which formula?Read the answer and worked solution →As per your syllabus, the RECURSIVE rule of the AP 11, 8, 5, 2,... is which formula?Read the answer and worked solution →As per your syllabus, in the AP 1, 5, 9, 13, 17,..., what is the FORMULA for the nth term?Read the answer and worked solution →As per your syllabus, the sum of the first 10 natural numbers (1 + 2 +... + 10) equals which value?Read the answer and worked solution →As per your syllabus, the sum 1 + 2 + 3 +... + 100 equals which value?Read the answer and worked solution →As per your syllabus, the nth TRIANGULAR NUMBER tₙ (1, 3, 6, 10, 15,...) equals the sum of the first n natural numbers — so the formula is which?Read the answer and worked solution →As per your syllabus, what is the 10th triangular number using tₙ = n(n+1)/2?Read the answer and worked solution →As per your syllabus, the sum 25 + 26 + 27 +... + 58 can be computed as which expression?Read the answer and worked solution →

Worked practice questions

A list of numbers arranged in a particular order is called a:

  1. Group
  2. Sequence
  3. Polynomial
  4. Equation
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Correct answer: B. Sequence

A sequence is an ordered list of numbers (or other objects). Each member of a sequence is called a term. **Examples:** natural numbers 1, 2, 3, 4, … squares 1, 4, 9, 16, … Fibonacci 1, 1, 2, 3, 5, 8, …

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The 5th term (t₅) of the sequence of odd numbers 1, 3, 5, 7, ... is:

  1. 7
  2. 9
  3. 11
  4. 13
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Correct answer: B. 9

Odd numbers form 1, 3, 5, 7, 9, 11, … . The 5th term is 9. Using the formula tₙ = 2n − 1: t₅ = 2(5) − 1 = 9.

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The 6th triangular number is:

  1. 15
  2. 21
  3. 28
  4. 36
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Correct answer: B. 21

Triangular numbers: 1 = 1, 3 = 1+2, 6 = 1+2+3, 10 = 1+2+3+4, 15 = 1+2+3+4+5, 21 = 1+2+3+4+5+6. So T₆ = 21. (Formula Tₙ = n(n+1)/2 gives T₆ = 6·7/2 = 21.)

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More Mathematics topics

Mensuration: Perimeter and AreaCoordinate GeometryNumber SystemsPolynomials and Algebraic IdentitiesStatistics and ProbabilityTriangles, Circles and Geometry