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1.7.1 Binomial expansion

In this question you should assume that $−12<x<12\displaystyle -\frac{1}{2} < x < \frac{1}{2}$ .

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

[2]

Write down the sum to infinity of the series $4x^2 + 8x^3 + \dots$

[1]

Hence, or otherwise, find and simplify an expression for $16x^2 + 40x^3 + \dots$

[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.

In this question you should assume that $−12<x<12\displaystyle -\frac{1}{2} < x < \frac{1}{2}$ .

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

[2]

Write down the sum to infinity of the series $4x^2 + 8x^3 + \dots$

[1]

Hence, or otherwise, find and simplify an expression for $16x^2 + 40x^3 + \dots$

[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.