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Binomial Expansion

Binomial Expansion

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Question 211

In this question you should assume k>0 k>0\,k>0 and −1k<x<1k\displaystyle -\frac{1}{k} < x < \frac{1}{k}−k1​<x<k1​

a.

For the binomial expansion of (1−kx)−2(1 - kx)^{-2}(1−kx)−2 find and simplify the first four terms.

[2]
b.

Write down the sum to infinity of the series 1+kx+k2x2+k3x3+…1 + kx + k^2x^2 + k^3x^3 + \dots1+kx+k2x2+k3x3+…

[1]
c.

Hence or otherwise find and simplify an expression for 2+3kx+4k2x2+5k3x3+…2 + 3kx + 4k^2x^2 + 5k^3x^3 + \dots2+3kx+4k2x2+5k3x3+…

[3]
Markscheme

Binomial Expansion Questions

  1. A Level
  2. /Maths
  3. /Binomial Expansion

409 exam-style questions on Edexcel A Level Maths Binomial Expansion, covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions. Each one has a worked solution and a mark scheme showing where the marks go.

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