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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 99
a.

Find the coefficient of x5 x^5\,x5 in the expansion of (2+3x)7(2 + 3x)^7(2+3x)7.

[2]
b(i).

Expand 1−2x \sqrt{1 - 2x}\,1−2x​ in ascending powers of x x\,x as far as the term in x3x^3x3.

[3]
b(ii).

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

[1]
b(iii).

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

[2]
Markscheme

1.7 D: Sequences and series Questions

  1. A Level
  2. /Maths
  3. /1.7 D: Sequences and series

308 exam-style questions on AQA A Level Maths 1.7 D: Sequences and series, covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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