OCR C2 — Question 3

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
TopicBinomial Theorem (positive integer n)
TypeRatio of coefficients condition

3. For the binomial expansion in ascending powers of \(x\) of \(\left( 1 + \frac { 1 } { 4 } x \right) ^ { n }\), where \(n\) is an integer and \(n \geq 2\),
  1. find and simplify the first three terms,
  2. find the value of \(n\) for which the coefficient of \(x\) is equal to the coefficient of \(x ^ { 2 }\).