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The nth term of a quadratic sequence

The nth term of a quadratic sequence

TGM Original

The first five terms of a sequence are \(4,\ 11,\ 22,\ 37,\ 56\).

  1. Find an expression for the \(n\)th term.
  2. Find the 20th term.
  3. Show that 211 is a term of the sequence, and state its position.

Solution:

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Answer:(a) \(T_n=2n^2+n+1\) (b) \(821\) (c) \(n=10\): 211 is the 10th term

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