Question

Drag the values to the correct locations to write this series using sigma notation and find the sum of the terms. Not all values will be used.

45 + [45 − 2.5] + ⋯ + [45 − 4(2.5)]

Answer 1

`\displaystyle \\\sum_(k=0)^4 45-2.5k=200`

Explanation:

We start off with the term 45 and decrease by 2.5 each term, ending with four 2.5's subtracted from 45.

Therefore, our index starts at k=0 and ends at 4. The general term can be defined then as
`\displaystyle \\\sum_(k=0)^4 45-2.5k` and evaluating yields 200.