Final answer:
The sum is written in summation notation as \(\sum_{n=-9}^{66} (n + 13)\), expressing the addition of each number from -9 to 66, inclusive, with 13 added to each of those numbers.
Step-by-step explanation:
The given sum is sum_(n=-9)^66 (n+13), and we want to express this using summation notation.
To write the sum in summation notation, we would use the following expression:
\(\sum_{n=-9}^{66} (n + 13)\)
This expression states that we are summing the sequence of terms where each term is the current value of n (starting at n = -9 and ending at n = 66) plus 13. The lower limit of the summation indicates the starting index, while the upper limit indicates the ending index.
The summation notation simplifies the writing of the series and provides a clear and concise way to represent the series mathematically.