An odd sequence

An odd sequence

IP 1
3 marks
TGM Original Questions

The \(n\)th term of a sequence is \(T_n=n^2+n+1\), where \(n\) is a positive integer.

  1. Write down the first two terms.[1]
  2. Explain why no term of the sequence is even.[2]

Solution:

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Answer:(a) \(3,7\) (b) Every term is odd because one of the consecutive integers n and n+1 is even.

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