The given series is:
\sum_{k=5}^{10}\left(k^{2}-4 k+7\right)
This means we need to evaluate the expression (k^2 - 4k + 7) for each value of k from 5 to 10, and then add up all the results.
Now, let's evaluate the expression for each value of k:
k = 5: (5^2 -
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