OCR C2 — Question 8

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
TopicArithmetic Sequences and Series
  1. The first two terms of an arithmetic progression are \(( t - 1 )\) and \(\left( t ^ { 2 } - 5 \right)\) respectively, where \(t\) is a positive constant.
    1. Find and simplify expressions in terms of \(t\) for
      1. the common difference,
      2. the third term.
    Given also that the third term is 19 ,
  2. find the value of \(t\),
  3. show that the 10th term is 75,
  4. find the sum of the first 40 terms.
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