Question

Find the sum of the series and show your process for finding each term leading to the final sum.

GOT TO SHOW YOUR STEP BY STEP WORK.

Answer 1

`\sum_(k=3)^5(-2k+5)=-9`

Explanation:

The given series is:

`\sum_(k=3)^5(-2k+5)`

The series is not very lengthy so we can write the expanded form;

`\sum_(k=3)^5(-2k+5)=(-2(3)+5)+(-2(4)+5)+(-2(5)+5)`

This implies that;

`\sum_(k=3)^5(-2k+5)=-1+-3+-5`

`\sum_(k=3)^5(-2k+5)=-9`