OCR C2 — Question 1

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
TopicArithmetic Sequences and Series

  1. A sequence is defined by
$$u _ { n + 1 } = \frac { u _ { n } + 1 } { 3 } , \quad n = 1,2,3 , \ldots$$ Given that \(u _ { 3 } = 5\),
  1. find the value of \(u _ { 4 }\),
  2. find the value of \(u _ { 1 }\).