2025 NASS PRELIMS P1 Q19

2025 NASS PRELIMS P1 Q19

Secondary 4
4 marks

The sum of the first \(n\) terms of a linear sequence is \(\dfrac32n(n-3)\).

  1. Find the first 3 terms.[2]
  2. Find an expression in \(n\) for the \(n\)th term.[1]
  3. Hence, explain why every term is a multiple of 3.[1]

Solution:

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Answer:(a) \(-3,0,3\) (b) \(3n-6\) (c) \(T_n=3(n-2)\)

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