Edexcel C1 2014 June — Question 5

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2014
SessionJune
TopicArithmetic Sequences and Series

5. A sequence of numbers \(a _ { 1 } , a _ { 2 } , a _ { 3 } \ldots\) is defined by $$a _ { n + 1 } = 5 a _ { n } - 3 , \quad n \geqslant 1$$ Given that \(a _ { 2 } = 7\),
  1. find the value of \(a _ { 1 }\)
  2. Find the value of \(\sum _ { r = 1 } ^ { 4 } a _ { r }\)