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3.3.7 Sequences and series (A-level only)

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Question 12

Find the coefficient of $x^5\,$ in the expansion of $2 + 3x)^7$ .

[2]

b(i).

Expand $\sqrt{1 - 2x}\,$ in ascending powers of $x\,$ as far as the term in $x^3$ .

[3]

b(ii).

State the range of values of $x\,$ for which your expansion is valid.

[1]

b(iii).

Use your expansion, with $x = 0.01$ , to find an estimate for $\sqrt{98}\,$ correct to five significant figures.

[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)

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 12

Find the coefficient of $x^5\,$ in the expansion of $2 + 3x)^7$ .

[2]

b(i).

Expand $\sqrt{1 - 2x}\,$ in ascending powers of $x\,$ as far as the term in $x^3$ .

[3]

b(ii).

State the range of values of $x\,$ for which your expansion is valid.

[1]

b(iii).

Use your expansion, with $x = 0.01$ , to find an estimate for $\sqrt{98}\,$ correct to five significant figures.

[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.