Answer
$a_n=2n+1$
Work Step by Step
We know that $a_n=a_1+(n-1) d$
Here, we have $a_{3}=a_1+2d=7; a_{8}=a_1+7d=17$
Thus,we have
$a_1+7d-a_1-2d=17-7$
or, $5d=10 \implies d=2$
and $a_1=7-2(2)=3$
Now, $a_n=3+(n-1) (2)=2n+1$
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