Find the numerical answer to the summation given below. \[ \sum_{n=1}^{65}(6 n+7) \]

Step 1 ：The given expression is an arithmetic series with first term \(6*1+7=13\), last term \(6*65+7=397\) and number of terms 65.

Step 2 ：The sum of an arithmetic series can be found using the formula \[S = \frac{n}{2} * (a + l)\] where S is the sum of the series, n is the number of terms, a is the first term and l is the last term.

Step 3 ：We can substitute the given values into this formula to find the sum. Where n = 65, a = 13, l = 397, we find that S = 13325.0

Step 4 ：Final Answer: The numerical answer to the summation is \(\boxed{13325}\)