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3.4.1 Sequences and Series (A-level only)

Easy Medium

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Question 30

Expand $1+3x)^{-3}$ in ascending powers of $x\,$ up to and including $x^3$

[4]

Write down the range of values of $x\,$ for which the expansion is valid.

[1]

Use your expansion to find the expansion of $2x+1(1+3x)3\displaystyle \frac{2x+1}{(1+3x)^3}$ up to and including $x^3$

[3]

Markscheme

3.4.1 Sequences and Series (A-level only) Questions

A Level
Maths
3.4.1 Sequences and Series (A-level only)

43 exam-style questions on WJEC A Level Maths 3.4.1 Sequences and Series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.4.1 Sequences and Series (A-level only)

Question bank

3.4.1 Sequences and Series (A-level only)

Easy Medium

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42

Question 30

Expand $1+3x)^{-3}$ in ascending powers of $x\,$ up to and including $x^3$

[4]

Write down the range of values of $x\,$ for which the expansion is valid.

[1]

Use your expansion to find the expansion of $2x+1(1+3x)3\displaystyle \frac{2x+1}{(1+3x)^3}$ up to and including $x^3$

[3]

Markscheme

3.4.1 Sequences and Series (A-level only) Questions

A Level
Maths
3.4.1 Sequences and Series (A-level only)

43 exam-style questions on WJEC A Level Maths 3.4.1 Sequences and Series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.