N2010 P1 Q3
N2010 P1 Q3
Junior College 2
5 marks
The sum, \(S_n\), of the first \(n\) terms of a sequence \(u_1,u_2,u_3,\ldots\) is given by \(S_n=n(2n+c)\), where \(c\) is a constant.
- Find \(u_n\) in terms of \(c\) and \(n\).[3]
- Find a recurrence relation of the form \(u_{n+1}=\mathrm f(u_n)\).[2]
Solution:
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Answer:(i) \(u_n=4n+c-2\). (ii) \(u_{n+1}=u_n+4\).
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