Evaluate the series.
\[
\sum_{i=1}^{4}(2 i+4)
\]
\[
\sum_{i=1}^{4}(2 i+4)=\square
\]

Step 1 ：The series is a simple arithmetic series where each term is given by the formula \(2i + 4\), where \(i\) ranges from 1 to 4.

Step 2 ：To solve this, we can simply substitute each value of \(i\) into the formula, sum up the results, and that will give us the answer.

Step 3 ：Substituting \(i = 1\) into the formula gives \(2*1 + 4 = 6\).

Step 4 ：Substituting \(i = 2\) into the formula gives \(2*2 + 4 = 8\).

Step 5 ：Substituting \(i = 3\) into the formula gives \(2*3 + 4 = 10\).

Step 6 ：Substituting \(i = 4\) into the formula gives \(2*4 + 4 = 12\).

Step 7 ：Adding these results together gives \(6 + 8 + 10 + 12 = 36\).

Step 8 ：So, the sum of the series \(\sum_{i=1}^{4}(2 i+4)\) is 36.

Step 9 ：Final Answer: \(\sum_{i=1}^{4}(2 i+4)=\boxed{36}\)