Answer
For an Arithmetic Progression (A.P.), the formula for the n-th term is given by: $$t_n = a + (n - 1)d$$ Where \(a\) is the first term and \(d\) is the common difference.
In this sequence, the first term is \(a = 3\). The common difference is calculated by subtracting the first term from the second term: $$d = t_2 - t_1 = 6 - 3 = 3$$
Now, we substitute the values of \(a\) and \(d\) into the formula: $$t_n = 3 + (n - 1)3$$
By expanding the expression, we get: $$t_n = 3 + 3n - 3$$
Finally, simplifying the expression gives the n-th term: $$t_n = 3n$$