AQA C2 2005 June — Question 3

Exam BoardAQA
ModuleC2 (Core Mathematics 2)
Year2005
SessionJune
TopicArithmetic Sequences and Series

3 The \(n\)th term of an arithmetic sequence is \(u _ { n }\), where $$u _ { n } = 90 - 3 n$$
  1. Find the value of \(u _ { 1 }\) and the value of \(u _ { 2 }\).
  2. Write down the common difference of the arithmetic sequence.
  3. Given that \(\sum _ { n = 1 } ^ { k } u _ { n } = 0\), find the value of \(k\).