Evaluate the Summation sum from k=4 to 5 of k^2-k

Problem

(∑_k=4^5)(k2−k)

Solution

1. Identify the limits of the summation, which are k=4 and k=5

2. Substitute the first value k=4 into the expression k2−k

4−4=16−4=12

3. Substitute the second value k=5 into the expression k2−k

5−5=25−5=20

4. Add the results of the individual terms to find the total sum.

12+20=32

Final Answer

(∑_k=4^5)(k2−k)=32

Want more problems? Check here!