CAIE P1 2020 March — Question 6

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2020
SessionMarch
TopicBinomial Theorem (positive integer n)
TypeSingle coefficient given directly
6 The coefficient of \(\frac { 1 } { x }\) in the expansion of \(\left( 2 x + \frac { a } { x ^ { 2 } } \right) ^ { 5 }\) is 720 .
  1. Find the possible values of the constant \(a\).
  2. Hence find the coefficient of \(\frac { 1 } { x ^ { 7 } }\) in the expansion.
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