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ریاضیاتی استقراء اور مسئلہ ثنائی

گیارہویں جماعت · ریاضی · 5 سوالات

نام: ____________________   تاریخ: ____________

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

    • A 10
    • B 8
    • C 9
    • D 16
  2. The coefficient of x2 in (1 + x)^5 is:

    • A 15
    • B 5
    • C 20
    • D 10
  3. The sum of the binomial coefficients in (1 + x)^4 is:

    • A 8
    • B 4
    • C 16
    • D 32
  4. Mathematical induction is used to prove statements for:

    • A Real numbers
    • B Only even numbers
    • C All natural numbers
    • D Fractions
  5. The middle term of (a + b)^6 is the:

    • A 4th
    • B 3rd
    • C 7th
    • D 5th

جوابی کلید

1. C, 2. D, 3. C, 4. C, 5. A

  1. There are n + 1 terms.

  2. 5C2 = 10.

  3. Put x = 1: 2^4 = 16.

  4. It proves a statement for every natural number.

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