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JEE Main Sequences — practice questions

Explore 30 free Sequences questions in JEE Main Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Sequences questions and exercises with answers

Showing questions 1–30 of 30.

A sequence in which each term is the sum of the two before it is the:Read the answer and worked solution →The Fibonacci sequence is generated by a rule called a:Read the answer and worked solution →In an arithmetic progression, the constant d is called the common:Read the answer and worked solution →In an A.P., the letter a stands for the:Read the answer and worked solution →In A.P. notation, n stands for the:Read the answer and worked solution →Adding the same constant to every term of an A.P. gives a sequence that is:Read the answer and worked solution →Subtracting a constant from every term of an A.P. leaves it:Read the answer and worked solution →Multiplying every term of an A.P. by a constant gives:Read the answer and worked solution →Dividing every term of an A.P. by a non-zero constant gives:Read the answer and worked solution →The quantity S in A.P. notation denotes the:Read the answer and worked solution →In a geometric progression, the constant r is called the common:Read the answer and worked solution →In a G.P., the third term is obtained from the second by:Read the answer and worked solution →The common ratios of the three sample G.P.s given are 2, 3 and:Read the answer and worked solution →A common ratio of 0.01 makes the terms of a G.P.:Read the answer and worked solution →The A.M. of two numbers is their arithmetic:Read the answer and worked solution →The G.M. of two positive numbers is their geometric:Read the answer and worked solution →Besides progressions, the topic covers the relationship between A.M. and:Read the answer and worked solution →Which special series is studied as a sum to n terms?Read the answer and worked solution →The sum of cubes of the first n natural numbers is one of the:Read the answer and worked solution →In G.P. notation, l stands for the:Read the answer and worked solution →An A.P. written in standard form starts with a and then:Read the answer and worked solution →The first two terms of the Fibonacci sequence are both:Read the answer and worked solution →True or false on sequencesRead the answer and worked solution →Quick picks on sequencesRead the answer and worked solution →Match each symbol to its meaningRead the answer and worked solution →A.P. or G.P.Read the answer and worked solution →Still an A.P. or notRead the answer and worked solution →Build a Fibonacci sequenceRead the answer and worked solution →Fill the gaps on sequencesRead the answer and worked solution →Spot the one that does not fitRead the answer and worked solution →

Worked practice questions

A sequence in which each term is the sum of the two before it is the:

  1. Fibonacci
  2. Harmonic
  3. Geometric
  4. Quadratic
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Correct answer: A. Fibonacci

1. The first two terms are both one. 2. Every later term adds the two terms just before it. 3. That is the Fibonacci sequence. _Source: syllabus Mathematics, Chapter 9, Sequences and Series._

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The Fibonacci sequence is generated by a rule called a:

  1. Closed formula rule
  2. Recurrence relation
  3. Common difference
  4. Common ratio rule
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Correct answer: B. Recurrence relation

1. No simple formula gives the terms directly. 2. Each term is defined from earlier terms instead. 3. Such a rule is a recurrence relation. _Source: syllabus Mathematics, Chapter 9, Sequences and Series._

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In an arithmetic progression, the constant d is called the common:

  1. Difference
  2. Quotient
  3. Multiplier
  4. Remainder
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Correct answer: A. Difference

1. Consecutive terms of an A.P. differ by a fixed amount. 2. That fixed amount is written d. 3. It is the common difference. _Source: syllabus Mathematics, Chapter 9, Sequences and Series._

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