Answer
See below.
Work Step by Step
According to the exercise:
$a_1=2$
$a_2=2^2+3(2)-a_1=2^2+3(2)-2=8$
$a_3=3^2+3(3)-a_2=3^2+3(3)-8=10$
$a_4=4^2+3(4)-a_3=4^2+3(4)-10=18$
$a_5=5^2+3(5)-a_4=5^2+3(5)-18=22$
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