Question
If the nth term an of sequence is given by $\text{a}_\text{n}=\text{n}^2-\text{n}+1,$ write down its first five terms.
✓
Answer
$\text{a}_\text{n}=\text{n}^2-\text{n}+1$ is the given sequence
then, first 5 tems are $\text{a}_1,\ \text{a}_2,\ \text{a}_3,\ \text{a}_4$ and $\text{a}_5$ $\text{a}_1=(1)^2-1+1=1$
$\text{a}_2=(2)^2-2+1=3$
$\text{a}_2=(3)^2-3+1=7$
$\text{a}^4=(4)^2-4+1=13$
$\text{a}_5=(5)^2-5+1=21$
First 5 terms 1, 3, 7, 13 and 21.
then, first 5 tems are $\text{a}_1,\ \text{a}_2,\ \text{a}_3,\ \text{a}_4$ and $\text{a}_5$ $\text{a}_1=(1)^2-1+1=1$
$\text{a}_2=(2)^2-2+1=3$
$\text{a}_2=(3)^2-3+1=7$
$\text{a}^4=(4)^2-4+1=13$
$\text{a}_5=(5)^2-5+1=21$
First 5 terms 1, 3, 7, 13 and 21.
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