OCR C2 2013 January — Question 2

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2013
SessionJanuary
TopicArithmetic Sequences and Series

2 A sequence \(u _ { 1 } , u _ { 2 } , u _ { 3 } , \ldots\) is defined by $$u _ { 1 } = 7 \text { and } u _ { n + 1 } = u _ { n } + 4 \text { for } n \geqslant 1 .$$
  1. Show that \(u _ { 17 } = 71\).
  2. Show that \(\sum _ { n = 1 } ^ { 35 } u _ { n } = \sum _ { n = 36 } ^ { 50 } u _ { n }\).