Expand and evaluate the sum.
\[
\sum_{i=1}^{4} \frac{2+i}{i}
\]

Answer

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Answer

Final Answer: The sum of the series is \(\boxed{8.166666666666668}\).

Steps

Step 1 ：The problem is asking for the sum of a series. The series is defined by the formula \(\frac{2+i}{i}\) where \(i\) ranges from 1 to 4.

Step 2 ：To solve this, we will iterate over the range 1 to 4, calculate the value of the formula for each \(i\), and sum up these values.

Step 3 ：The sum of the series is calculated to be approximately 8.166666666666668.

Step 4 ：Final Answer: The sum of the series is \(\boxed{8.166666666666668}\).