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CBSE Class 9 Sequences and Progressions — practice questions — page 2

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 31–55 of 55.

As per your syllabus, a child arranges marbles in rows: 1 marble in row 1, 2 in row 2, 3 in row 3,..., 25 in row 25. How many marbles total?Read the answer and worked solution →As per your syllabus, what is the sum of the first 20 natural numbers (1 + 2 +... + 20)?Read the answer and worked solution →As per your syllabus, in the GP 3, 6, 12, 24, 48,... what is the COMMON RATIO?Read the answer and worked solution →As per your syllabus, the GENERAL form of a GP with first term a and common ratio r is which expression?Read the answer and worked solution →As per your syllabus, the nth TERM of a GP with first term a and common ratio r is given by which formula?Read the answer and worked solution →As per your syllabus, is 1, 3, 9, 27, 81,... a GP — and what is the common ratio?Read the answer and worked solution →As per your syllabus, is 1, −1, 1, −1, 1,... a GP — and what is the common ratio?Read the answer and worked solution →As per your syllabus, in the GP 3, 6, 12, 24,... what is the 6th term (using tₙ = a × rⁿ⁻¹)?Read the answer and worked solution →As per your syllabus, the GP 1, 2, 4, 8, 16,... can be written explicitly as which formula?Read the answer and worked solution →A sequence is an ordered list of:Read the answer and worked solution →Each number in a sequence is called a:Read the answer and worked solution →A sequence where each term is multiplied by a fixed number is a:Read the answer and worked solution →The fixed multiplier in a geometric progression is the:Read the answer and worked solution →The nth term of an AP is:Read the answer and worked solution →The nth term of a GP is:Read the answer and worked solution →In the AP 1, 4, 7, 10, the common difference is:Read the answer and worked solution →A formula that gives a term from its position n is:Read the answer and worked solution →The sum of the first n natural numbers is:Read the answer and worked solution →The fifth triangular number, 15, equals:Read the answer and worked solution →A rule that uses the previous two terms builds which sequence?Read the answer and worked solution →Is 1, -1, 1, -1 a geometric progression?Read the answer and worked solution →The sequence 240, 280, 320 is an AP with common difference:Read the answer and worked solution →AP or GP?Read the answer and worked solution →Sequence numbersRead the answer and worked solution →Complete the progression rulesRead the answer and worked solution →

Worked practice questions

As per your syllabus, a child arranges marbles in rows: 1 marble in row 1, 2 in row 2, 3 in row 3,..., 25 in row 25. How many marbles total?

  1. 325 (= 25 × 26 / 2)
  2. 255
  3. 250
  4. 625
Show answer and solution

Correct answer: A. 325 (= 25 × 26 / 2)

As per your syllabus, total = 1+2+...+25 = S₂₅ = 25 × 26 / 2 = 325.

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As per your syllabus, what is the sum of the first 20 natural numbers (1 + 2 +... + 20)?

  1. 420
  2. 200
  3. 210 (= 20 × 21 / 2)
  4. 220
Show answer and solution

Correct answer: C. 210 (= 20 × 21 / 2)

As per your syllabus, S₂₀ = 20 × 21 / 2 = 210.

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As per your syllabus, in the GP 3, 6, 12, 24, 48,... what is the COMMON RATIO?

  1. 2
  2. 3
  3. ½
  4. 4
Show answer and solution

Correct answer: A. 2

As per your syllabus, common ratio r = 6/3 = 12/6 = 24/12 = 2.

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