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1.7.1 Binomial expansion

Find the first three terms, in ascending powers of $x$ , of the binomial expansion of

(1-x)^{-\frac{1}{2}}

[2]

A student substitutes $x = 1.5$ into the expansion to find an approximation for $2\sqrt{2}$ . Explain the mistake in the student's approach.

[2]

By substituting $\frac{1}{9}$ into your expansion, find an approximation for $2\sqrt{2}$ . Give your answer to three significant figures.

[3]

1.7.1 Binomial expansion Questions

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.

Find the first three terms, in ascending powers of $x$ , of the binomial expansion of

(1-x)^{-\frac{1}{2}}

[2]

A student substitutes $x = 1.5$ into the expansion to find an approximation for $2\sqrt{2}$ . Explain the mistake in the student's approach.

[2]

By substituting $\frac{1}{9}$ into your expansion, find an approximation for $2\sqrt{2}$ . Give your answer to three significant figures.

[3]

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.