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Mathematical induction and binomial theorem

5 Class 11 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. The number of terms in the expansion of (a + b)^8 is:

    • 1 10
    • 2 8
    • 3 9
    • 4 16
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    Correct answer: 9

    There are n + 1 terms.

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  2. The coefficient of x2 in (1 + x)^5 is:

    • 1 15
    • 2 5
    • 3 20
    • 4 10
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    Correct answer: 10

    5C2 = 10.

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  3. The sum of the binomial coefficients in (1 + x)^4 is:

    • 1 8
    • 2 4
    • 3 16
    • 4 32
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    Correct answer: 16

    Put x = 1: 2^4 = 16.

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  4. Mathematical induction is used to prove statements for:

    • 1 Real numbers
    • 2 Only even numbers
    • 3 All natural numbers
    • 4 Fractions
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    Correct answer: All natural numbers

    It proves a statement for every natural number.

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  5. The middle term of (a + b)^6 is the:

    • 1 4th
    • 2 3rd
    • 3 7th
    • 4 5th
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    Correct answer: 4th

    There are 7 terms, so the middle one is the 4th.

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