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11th Standard English Medium Maths Subject Binomial Theorem, Sequences and Series Creative 3 Mark Questions with Solution Part - I Question Bank Software Jun-25 , 2021

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11th Standard English Medium Maths Subject Binomial Theorem, Sequences and Series Creative 3 Mark Questions with Solution Part - I

11th Standard English Medium Maths Subject Binomial Theorem, Sequences and Series Creative 3 Mark Questions with Solution Part - I

11th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 15

    3 Marks

    5 x 3 = 15

  1. The first three terms in the expansion of (1 + ax)n are 1 + 12x + 64x2. Find n and a

  2. Show that the sequence where log a,\(log\frac { { a }^{ 2 } }{ b^{ 1 } } log\frac { { a }^{ 2 } }{ { b }^{ 2 } } \)  ..is an A.P

  3. If the pth, qth and rth terms of an A.P. are a, b, c respectively, prove that a (q - r) + b (r - p) + c (p - q) = 0.

  4. The sum of first three terms of a G.P. is to the sum of the first six terms as 125: 152. Find the common ratio of the G.P.

  5. If x so large prove that \(\sqrt { { x }^{ 2 }+25 } -\sqrt { { x }^{ 2 }+9 } =\frac { 8 }{ x } \) nearly.

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