6 marksSequences
CAPE Pure Mathematics Unit 2 · May/June 2008 (T&T) · Paper 2 · Question 4(a)(iii)b)
Given that a_n < 2 for all n,
Show that a_n < a_{n+1}.
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Practise this questionOther parts of this question
- 4(a)(i)Find
a_2anda_3.[2 marks] - 4(a)(ii)Express
a_{n+1} - 2in terms ofa_n.[2 marks] - 4(a)(iii)a)Show that
a_{n+1} < 2.[3 marks] - 4(b)Find the term independent of
xin the binomial expansion of(x^2 - \frac{6}{x^3})^{15}. [You may leave your answer in the form of factorials and powers,…[6 marks] - 4(c)Use the binomial theorem to find the difference between
2^{10}and(2.002)^{10}correct to 5 decimal places.[6 marks]
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