AQA C2 2016 June — Question 4

Exam BoardAQA
ModuleC2 (Core Mathematics 2)
Year2016
SessionJune
TopicArithmetic Sequences and Series

4 An arithmetic series has first term \(a\) and common difference \(d\).
The sum of the first 21 terms is 168 .
  1. Show that \(a + 10 d = 8\).
  2. The sum of the second term and the third term is 50 . The \(n\)th term of the series is \(u _ { n }\).
    1. Find the value of \(u _ { 12 }\).
    2. Find the value of \(\sum _ { n = 4 } ^ { 21 } u _ { n }\).