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1.3 Sequences and series

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Question 23

A researcher models the intensity I I\,I of a signal as it penetrates a specific material of thickness x x\,x cm. The model is given by

I(x)=(1+23x)−3for ∣x∣<32 I(x) = \left(1 + \frac{2}{3}x\right)^{-3} \quad \text{for } |x| < \frac{3}{2} I(x)=(1+32​x)−3for ∣x∣<23​

Find the binomial expansion of I(x)I(x)I(x) in ascending powers of x x\,x up to and including the term in x3x^3x3. Simplify each coefficient fully and present them as exact fractions.

[4]
Markscheme

1.3 Sequences and series Questions

  1. A Level
  2. /Maths
  3. /1.3 Sequences and series

107 exam-style questions on CCEA A Level Maths 1.3 Sequences and series, covering 1.3.1 Sequences and series and 1.3.2 Sequences and series. Each one has a worked solution and a mark scheme showing where the marks go.

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