Evaluate the series.
$$\sum _{i=1}^4(2i+4)$$
$$\sum _{i=1}^4(2i+4)=◻$$

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 $2\ast 1+4=6$.

Step 4 ：Substituting $i=2$ into the formula gives $2\ast 2+4=8$.

Step 5 ：Substituting $i=3$ into the formula gives $2\ast 3+4=10$.

Step 6 ：Substituting $i=4$ into the formula gives $2\ast 4+4=12$.

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

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

Step 9 ：Final Answer: $\sum _{i=1}^4(2i+4)=\boxed{{\displaystyle 36}}$