2022 AMKSS EOY P1 Q3

2022 AMKSS EOY P1 Q3

3 marks

The first four terms in a sequence are \(1, 4, 9\) and \(16\).

  1. Write down the \(6\)th term of this sequence.

    [1]
  2. Find an expression, in terms of \(n\), for the \(n\)th term, \(T_n\), of the sequence.

    [1]
  3. Is the number \(99\) part of the sequence above? Explain your answer.

    [1]

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Answer:(a) \(36\). (b) \(T_n=n^2\). (c) No: 99 lies strictly between \(9^2\) and \(10^2\).

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