OCR C4 2009 June — Question 3

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2009
SessionJune
TopicGeneralised Binomial Theorem
TypeSingle unknown from one coefficient condition
3
  1. Expand \(( a + x ) ^ { - 2 }\) in ascending powers of \(x\) up to and including the term in \(x ^ { 2 }\).
  2. When \(( 1 - x ) ( a + x ) ^ { - 2 }\) is expanded, the coefficient of \(x ^ { 2 }\) is 0 . Find the value of \(a\).
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