AQA C2 2006 June — Question 3

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

3 The first term of an arithmetic series is 1 . The common difference of the series is 6 .
  1. Find the tenth term of the series.
  2. The sum of the first \(n\) terms of the series is 7400 .
    1. Show that \(3 n ^ { 2 } - 2 n - 7400 = 0\).
    2. Find the value of \(n\).