General Term of a Sequence

General Term of a Sequence

TGM Original Questions

The first four terms of a sequence are \(-13, -7, -1, 5\).

  1. Write down the \(6^{th}\) term of the sequence.
  2. Find, in terms of \(n\), a formula for the \(n^{th}\) term of the sequence.
  3. Hence find the \(100^{th}\) term.
  4. Is \(41\) a term in the sequence? Explain your answer.

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Answer:(i) \(17\) (ii) \(T_n=6n-19\) (iii) \(581\) (iv) Yes, \(n=10\)

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