Question
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
Upstudy AI Solution
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Answer
The numerical answer is 6216.
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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:
- 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:
- For the second sum
, since we are summing from to , the number of terms is:
So,
- Combining both parts, we get:
Therefore, the numerical answer to the summation is: