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1.7.1 Binomial expansion

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Question 113

Find, in ascending powers of $x$ , the first three non-zero terms of the binomial series expansion of

\sqrt[3]{1 + 3x^2} \quad \quad |x| < \frac{1}{\sqrt{3}}

giving each coefficient as a simplified fraction.

[3]

Use the expansion from part (a) with $\frac{1}{2}$ to find a rational approximation to $\cdot \sqrt[3]{7}$ , where $k$ is a constant you must determine.

[4]

Markscheme

1.7.1 Binomial expansion Questions

A Level
Maths
1.7.1 Binomial expansion

144 exam-style questions on AQA A Level Maths 1.7.1 Binomial expansion. Each one has a worked solution and a mark scheme showing where the marks go.

1.7.1 Binomial expansion

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1.7.1 Binomial expansion

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Question 113

Find, in ascending powers of $x$ , the first three non-zero terms of the binomial series expansion of

\sqrt[3]{1 + 3x^2} \quad \quad |x| < \frac{1}{\sqrt{3}}

giving each coefficient as a simplified fraction.

[3]

Use the expansion from part (a) with $\frac{1}{2}$ to find a rational approximation to $\cdot \sqrt[3]{7}$ , where $k$ is a constant you must determine.

[4]

Markscheme

1.7.1 Binomial expansion Questions

A Level
Maths
1.7.1 Binomial expansion

144 exam-style questions on AQA A Level Maths 1.7.1 Binomial expansion. Each one has a worked solution and a mark scheme showing where the marks go.