Sequence of Reciprocals

Sequence of Reciprocals

TGM Original

\({1,\ \frac{1}{4},\ \frac{1}{9},\ \frac{1}{16},\ \underline{\phantom{0}},\ \underline{\phantom{0}}}\)

  1. Find the next two terms in the sequence.
  2. Write down an expression for the \({n}^{\mathrm{th}}\) term of this sequence.

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Answer:(a) \(\frac{1}{25},\frac{1}{36}\) (b) \(T_n=\frac{1}{n^2}\)

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