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  4. Write the first three terms of the sequence whose general term is an n2-n +1

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Q. Write the first three terms of the sequence whose general term is
$a_{n} n^{2}-n +1$

Sequences and Series

Solution:

$a_{n} = n^{2} - n +1 $
Substituting $n = 1, 2, 3$, we get
$ a_{1} = \left(1\right)^{2} - 1 + 1 = 1$,
$ a_{2} = 3,$
$ a_{3} = 7 $
So, the required terms are $ 1,3, 7$.