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Find the numerical answer to the summation given below.
Answer Attempt 1 out of 3
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Ask by Mccarthy Bryant. in the United States
Mar 14,2025

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Answer

The numerical answer is 6216.

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Bonus Knowledge

To evaluate the summation , we can simplify the summation by breaking it down into two parts. We can express as two separate sums:
Now, let’s calculate each part:
  1. For the first sum :
This can be factored out as:
The sum of the first natural numbers is given by the formula . To find the sum from to , we calculate:
Calculating those:
Thus,
Now substitute this back into the equation:
  1. For the second sum , since we are summing from to , the number of terms is:
So,
  1. Combining both parts, we get:
Therefore, the numerical answer to the summation is:

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