Edexcel C1 2005 January — Question 5

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2005
SessionJanuary
TopicArithmetic Sequences and Series

5. The \(r\) th term of an arithmetic series is ( \(2 r - 5\) ).
  1. Write down the first three terms of this series.
  2. State the value of the common difference.
  3. Show that \(\sum _ { r = 1 } ^ { n } ( 2 r - 5 ) = n ( n - 4 )\).