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a = 2
Un = a + (n-1) b
83 = 2 + (n-1) 3
83 = 2 + 3n - 3
83 = -1 + 3n
-1 + 3n = 83
3n = 83 + 1
3n = 84
n = 83/3
n = 28
b = 3
a + (n-1) b =83
2 + (n-1) 3 = 83
2 + 3n -3 = 83
3n - 1 =83
3n = 84
n = 28