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3.3.7 Sequences and series (A-level only)

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Question 10

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]

Markscheme

3.3.7 Sequences and series (A-level only) Questions

A Level
Maths
3.3.7 Sequences and series (A-level only)

36 exam-style questions on CCEA A Level Maths 3.3.7 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.3.7 Sequences and series (A-level only)

Question bank

3.3.7 Sequences and series (A-level only)

Easy Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Question 10

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]

Markscheme

3.3.7 Sequences and series (A-level only) Questions

A Level
Maths
3.3.7 Sequences and series (A-level only)

36 exam-style questions on CCEA A Level Maths 3.3.7 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.