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3.3.7 Sequences and series (A-level only)

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Question 18

Find the first four terms, in ascending powers of $x$ , of the binomial expansion of $1+6x\sqrt{1 + 6x}$ , giving each term in its simplest form.

[3]

Explain how you could use $x=112\displaystyle x = \frac{1}{12}$ in your expansion to find an approximation for $6\sqrt{6}$ . There is no need to carry out the calculation.

[2]

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)

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3.3.7 Sequences and series (A-level only)

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

Question 18

Find the first four terms, in ascending powers of $x$ , of the binomial expansion of $1+6x\sqrt{1 + 6x}$ , giving each term in its simplest form.

[3]

Explain how you could use $x=112\displaystyle x = \frac{1}{12}$ in your expansion to find an approximation for $6\sqrt{6}$ . There is no need to carry out the calculation.

[2]

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.