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Binomial Expansion

Binomial Expansion

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Question 148

In this question you should assume −1<x<1-1 < x < 1−1<x<1

a.

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

[2]
b.

Write down the sum to infinity of the series 1+x+x2+x3+…1 + x + x^2 + x^3 + \dots1+x+x2+x3+…

[1]
c.

Hence or otherwise find and simplify an expression for 2+3x+4x2+5x3+…2 + 3x + 4x^2 + 5x^3 + \dots2+3x+4x2+5x3+…

[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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