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a_2= 3(2)^2-2(2)+2 = 12-4 + 2 = 10
a_3= 3(3)^2-2(3)+2 = 27-6+2 = 23
a_4= 3(4)^2-2(4)+2 = 48-8 +2= 42
a_5= 3(5)^2-2(5)+2= 75-10+2 = 67