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Binomial Expansion

Binomial Expansion

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Question 26

In this question you should assume −13<x<13\displaystyle -\frac{1}{3} < x < \frac{1}{3}−31​<x<31​

a.

For the binomial expansion of (1−3x)−2(1 - 3x)^{-2}(1−3x)−2 find and simplify the first four terms.

[2]
b.

Write down the sum to infinity of the series 1+3x+9x2+27x3+…1 + 3x + 9x^2 + 27x^3 + \dots1+3x+9x2+27x3+…

[1]
c.

Hence or otherwise find and simplify an expression for 2+9x+36x2+135x3+…2 + 9x + 36x^2 + 135x^3 + \dots2+9x+36x2+135x3+…

[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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