SPS SPS SM Pure 2022 November — Question 5

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2022
SessionNovember
TopicArithmetic Sequences and Series

5. An arithmetic series has first term \(a\) and common difference \(d\).
The sum of the first 29 terms is 1102.
  1. Show that \(a + 14 d = 38\).
  2. The sum of the second term and the seventh term is 13 . Find the value of \(a\) and the value of \(d\).