Ratio of coefficients condition

A question is this type if and only if it gives a relationship between two coefficients (e.g., ratio or equality) and asks to find unknown parameters.

26 questions

AQA Paper 1 2024 June Q8
3 marks
8
  1. Find the first three terms, in ascending powers of \(x\), in the expansion of $$( 2 + k x ) ^ { 5 }$$ where \(k\) is a positive constant.
    [0pt] [3 marks]
    8
  2. Hence, given that the coefficient of \(x\) is four times the coefficient of \(x ^ { 2 }\), find the value of \(k\)