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Binomial Theorem and Mathematical lnduction Test - 7
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Binomial Theorem and Mathematical lnduction Test - 7

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  • Question 1/10
    4 / -1
    Given positive integers r > 1, n >2 and that the coefficient of (3r)th and (r + 2)th terms in the binomial expansion of (1+ x)2n are equal . Then
    Solutions

  • Question 2/10
    4 / -1
    If 21st and 22nd terms in the expansion of (1 + χ)44 are equal, then χ is equal to
    Solutions

  • Question 3/10
    4 / -1
    If the coefficient of χ8 in (aχ2 + 1/bχ )13 is equal to the coefficient of χ–8 in(aχ – 1/bχ2 )13, then a and b will satisfy the relation
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  • Question 4/10
    4 / -1
    The coefficient of χ3 in the infinite series expansion of 2/(1– χ) (2 – χ), for |χ| < 1 is
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  • Question 5/10
    4 / -1
    If (a + bχ)–3 = 1/27 + (1/3)χ + ..., the the ordered pair (a, b) equals
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  • Question 6/10
    4 / -1
    The coefficient of three consecutive of (1 + χ)n+5 are in the ratio 5 : 10 : 14. Then, n is equal to (answer lies between 0 to 9 )
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  • Question 7/10
    4 / -1

    Solutions

  • Question 8/10
    4 / -1

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  • Question 9/10
    4 / -1
    If eχ / 1 – χ = B0 + B1χ + B2χ2 +....+ Bnχn + ..., then Bn– Bn–1 equals
    Solutions

  • Question 10/10
    4 / -1

    Solutions

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