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 (1−x)13(1−x)13.
[3]
a.
By substituting x=19x=19 find a rational approximation to 3√93√9.
[3]
b.
Markscheme
(1−x)13=1+13(−x)+13(−23)(−x)22!…=1−x3−x29…(1−x)13=1+13(−x)+13(−23)(−x)22!…=1−x3−x29… M1A1A1
[3 marks]
a.
(89)13≃1−127−1729⇒23√9≃701729⇒3√9≃1458701(89)13≃1−127−1729⇒23√9≃701729⇒3√9≃1458701 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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