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Binomial Expansion

Binomial Expansion

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Question 156

In this question you should assume −12<x<12\displaystyle -\frac{1}{2} < x < \frac{1}{2}−21​<x<21​

a.

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

[2]
b.

Write down the sum to infinity of the series 1+2x+4x2+8x3+…1 + 2x + 4x^2 + 8x^3 + \dots1+2x+4x2+8x3+…

[1]
c.

Hence or otherwise find and simplify an expression for 2+4x+8x2+16x3+…2 + 4x + 8x^2 + 16x^3 + \dots2+4x+8x2+16x3+…

[3]
Markscheme

Binomial Expansion Questions

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

408 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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