Edexcel C12 2018 January — Question 2

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2018
SessionJanuary
TopicArithmetic Sequences and Series

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