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1.4.1 Binomial expansion for positive integer n

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Question 23

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

\left(1 + \frac{2}{3}x\right)^{-3} \quad \text{for } |x| < \frac{3}{2}

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

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Markscheme

1.4.1 Binomial expansion for positive integer n Questions

A Level
Maths
1.4.1 Binomial expansion for positive integer n

108 exam-style questions on OCR A Level Maths 1.4.1 Binomial expansion for positive integer n. Each one has a worked solution and a mark scheme showing where the marks go.

1.4.1 Binomial expansion for positive integer n

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1.4.1 Binomial expansion for positive integer n

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Question 23

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

\left(1 + \frac{2}{3}x\right)^{-3} \quad \text{for } |x| < \frac{3}{2}

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

[4]

Markscheme

1.4.1 Binomial expansion for positive integer n Questions

A Level
Maths
1.4.1 Binomial expansion for positive integer n

108 exam-style questions on OCR A Level Maths 1.4.1 Binomial expansion for positive integer n. Each one has a worked solution and a mark scheme showing where the marks go.