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CBSE Class 11 (Commerce) Sequences — practice questions — page 2

Explore 61 free Sequences questions in CBSE Class 11 (Commerce) 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 31–60 of 61.

True or false: reading the identitiesRead the answer and worked solution →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 →

Worked practice questions

True or false: reading the identities

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Questions
  1. Statement is true
    Yes
    Statement
    The Pythagorean identity lets you find cos from sin.
  2. Statement is true
    Yes
    Statement
    The sum formulae let you expand cos(x + y).
  3. Statement is true
    Yes
    Statement
    Periodicity means adding 2π leaves the value unchanged.
  4. Statement is true
    No
    Statement
    Every trigonometric identity holds only for acute angles.
  5. Statement is true
    Yes
    Statement
    Radian measure is proportional to degree measure.
How the identities are used in practice. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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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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More Mathematics topics

StatisticsSequences and SeriesTrigonometric FunctionsBinomial TheoremConic SectionsSets, Relations and FunctionsLimits and DerivativesPermutations and Combinations