Find the rule for the arithmetic sequence having the given terms. \begin{tabular}{|r|r|} \hline$n$ & \multicolumn{1}{|c|}{$a_{n}$} \\ \hline 0 & -3 \\ \hline 1 & 0 \\ \hline \end{tabular}

Step 1 ：An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. This difference is called the common difference. In this case, we are given two consecutive terms of the sequence, -3 and 0. The common difference can be found by subtracting the first term from the second term.

Step 2 ：Given terms are: \(a_0 = -3\) and \(a_1 = 0\)

Step 3 ：Calculate the common difference, \(d = a_1 - a_0 = 0 - (-3) = 3\)

Step 4 ：The common difference of the arithmetic sequence is 3. Now, we can write the rule for the arithmetic sequence. The nth term of an arithmetic sequence can be found using the formula \(a_n = a_0 + n*d\), where \(a_0\) is the first term, \(d\) is the common difference, and \(n\) is the term number.

Step 5 ：Substitute the values of \(a_0\) and \(d\) into the formula, we get the rule for the arithmetic sequence as \(a_n = -3 + 3n\)

Step 6 ：\(\boxed{a_n = -3 + 3n}\) is the final answer.