Use linearity to evaluate the sum. ∑ 30 on the top and k=1 at the bottom as you can see in the description (9(6𝑘)−3)

Question

Use linearity to evaluate the sum. ³⁰∑_k=1 (9(6𝑘)−3)

Answer 1

The sum (as you have submitted the problem) is:

54∑k - 3*30 = 54*30*31/2 - 90

where the index on the sum runs from 1 to 30.

If you really meant ∑9(6k-3), the answer will be slightly different.

P.S. You may have heard how the great mathematician C.F. Gauss astounded his teachers by giving the answer to a problem similar to the first sum; if not, it is worth looking up the story.