Edexcel C12 2016 January — Question 1

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2016
SessionJanuary
TopicArithmetic Sequences and Series
  1. A sequence of numbers \(u _ { 1 } , u _ { 2 } , u _ { 3 } , \ldots\) satisfies
$$u _ { n + 1 } = 2 u _ { n } - 6 , \quad n \geqslant 1$$ Given that \(u _ { 1 } = 2\)
  1. find the value of \(u _ { 3 }\)
  2. evaluate \(\sum _ { i = 1 } ^ { 4 } u _ { i }\)
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