2025 A-Level H2 Mathematics
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Question 1Recurrence Relations and Summation5 marks
A sequence \(u_1, u_2, u_3, \ldots\) is defined by
\(u_1=a,\)
\(u_{r+1}=3u_r+5, r\geqslant 1,\)
where \(a\) is a constant.
- Find expressions for \(u_2\) and \(u_3\) in terms of \(a\).[2]
- It is given that \(\displaystyle\sum_{r=1}^{4}u_r=110\). Find the value of \(a\).[3]
