CAIE P1 2023 March — Question 6

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2023
SessionMarch
TopicBinomial Theorem (positive integer n)
TypeRatio of coefficients condition

6 In the expansion of \(\left( \frac { x } { a } + \frac { a } { x ^ { 2 } } \right) ^ { 7 }\), it is given that $$\frac { \text { the coefficient of } x ^ { 4 } } { \text { the coefficient of } x } = 3 \text {. }$$ Find the possible values of the constant \(a\).