2025 IGCSE Additional Mathematics October/November 0606/13 Q12

2025 IGCSE Additional Mathematics October/November 0606/13 Q12

5 marks
  1. Write down the coefficient of \(x^r\) in the binomial expansion of \((2+x)^{59}\).[1]
  2. For this expansion, find the value of \(r\) for which the coefficient of \(x^r\) is equal to the coefficient of \(x^{r+1}\).[4]

Solution:

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Answer:(a) \(\binom{59}r2^{59-r}\) (b) \(r=19\)

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