2024 GESS PRELIMS P1 Q5

2024 GESS PRELIMS P1 Q5

8 marks
  1. Find the term independent of \(x\) in the expansion of \(\left(2x^2 + \frac{3}{x}\right)^9\).[3]
    1. Find the first three terms of the expansion of \((2 - 3x)^5\) in ascending powers of \(x\).[2]
    2. Hence, find the value of \(n\) such that the coefficient of \(x\) in the expansion of \( (2 - 3x)^5(1 - 3x)^n\) is \(-720\)[3]

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Answer:(a) \(489888\) (b)(i) \(32-240x+720x^2\) (b)(ii) \(n=5\)

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