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3.3.7 Sequences and series (A-level only)

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Question 11

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

[3]

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

[1]

Hence find the expansion of $2x+1(1+3x)3\dfrac{2x + 1}{(1 + 3x)^3}$ up to and including the term in $x^3$ .

[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 11

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

[3]

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

[1]

Hence find the expansion of $2x+1(1+3x)3\dfrac{2x + 1}{(1 + 3x)^3}$ up to and including the term in $x^3$ .

[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.