Edexcel C1 2006 June — Question 4

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2006
SessionJune
TopicArithmetic Sequences and Series

4. A sequence \(a _ { 1 } , a _ { 2 } , a _ { 3 } , \ldots\) is defined by $$\begin{aligned} & a _ { 1 } = 3
& a _ { n + 1 } = 3 a _ { n } - 5 , \quad n \geqslant 1 . \end{aligned}$$
  1. Find the value of \(a _ { 2 }\) and the value of \(a _ { 3 }\).
  2. Calculate the value of \(\sum _ { r = 1 } ^ { 5 } a _ { r }\).