CAIE P1 2005 June — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2005
SessionJune
TopicBinomial Theorem (positive integer n)
TypeCoefficient zero after multiplying binomial

4
  1. Find the first 3 terms in the expansion of \(( 2 - x ) ^ { 6 }\) in ascending powers of \(x\).
  2. Find the value of \(k\) for which there is no term in \(x ^ { 2 }\) in the expansion of \(( 1 + k x ) ( 2 - x ) ^ { 6 }\).