OCR Stats 1 2018 December — Question 7

Exam BoardOCR
ModuleStats 1 (Statistics 1)
Year2018
SessionDecember
TopicProof

7
  1. Show that, if \(n\) is a positive integer, then \(\left( x ^ { n } - 1 \right)\) is divisible by \(( x - 1 )\).
  2. Hence show that, if \(k\) is a positive integer, then \(2 ^ { 8 k } - 1\) is divisible by 17.