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Date May Example questions Marks available 3 Reference code EXM.2.AHL.TZ0.1
Level Additional Higher Level Paper Paper 2 Time zone Time zone 0
Command term Find Question number 1 Adapted from N/A

Question

Write down and simplify the first three terms, in ascending powers of xx, in the Extended Binomial expansion of (1x)13(1x)13.

[3]
a.

By substituting x=19x=19 find a rational approximation to 3939.

[3]
b.

Markscheme

(1x)13=1+13(x)+13(23)(x)22!=1x3x29(1x)13=1+13(x)+13(23)(x)22!=1x3x29       M1A1A1

[3 marks]

a.

(89)1311271729239701729391458701(89)1311271729239701729391458701      M1A1A1

[3 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 1—Number and algebra » AHL 1.10—Perms and combs, binomial with negative and fractional indices
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Topic 1—Number and algebra

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