Edexcel C12 2017 January — Question 4

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2017
SessionJanuary
TopicArithmetic Sequences and Series
4. An arithmetic series has first term \(a\) and common difference \(d\). Given that the sum of the first 9 terms is 54
  1. show that $$a + 4 d = 6$$ Given also that the 8th term is half the 7th term,
  2. find the values of \(a\) and \(d\).
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