Evaluate the Summation sum from k=3 to 4 of k^2-2k

Problem

(∑_k=3^4)(k^2−2*k)

Solution

1. Identify the lower limit of summation as k=3 and the upper limit as k=4

2. Substitute the first value k=3 into the expression k^2−2*k

3^2−2*(3)=9−6=3

3. Substitute the second value k=4 into the expression k^2−2*k

4^2−2*(4)=16−8=8

4. Sum the results of the individual terms.

3+8=11

Final Answer

(∑_k=3^4)(k^2−2*k)=11

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