OCR C2 2006 June — Question 2

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2006
SessionJune
TopicArithmetic Sequences and Series

2 A sequence of terms \(u _ { 1 } , u _ { 2 } , u _ { 3 } , \ldots\) is defined by $$u _ { 1 } = 2 \quad \text { and } \quad u _ { n + 1 } = 1 - u _ { n } \text { for } n \geqslant 1 .$$
  1. Write down the values of \(u _ { 2 } , u _ { 3 }\) and \(u _ { 4 }\).
  2. Find \(\sum _ { n = 1 } ^ { 100 } u _ { n }\).