Final answer:
To find the sum of the given series, we substitute values for k from 3 to 6 into the formula and add the results. The series calculation produces a sum of 22, but this does not match any of the provided answer choices, suggesting an error in the given series or its limits.
Step-by-step explanation:
To find the sum of the series 6∑k=3−k+10, we must first clarify the notation and the limit of the summation, which seems to be missing from the original question. Assuming that the series is progressing from k=3 to k=6, we calculate the sum of each term by substituting the values of k into the series formula −k+10.
Let's calculate the sum step by step:
- For k=3: −(3) + 10 = 7
- For k=4: −(4) + 10 = 6
- For k=5: −(5) + 10 = 5
- For k=6: −(6) + 10 = 4
The sum of these terms is 7 + 6 + 5 + 4 = 22. However, none of the provided options match this result, and the original series may be incorrect or incomplete. To provide a correct answer, we would need the correct series and limits of summation.