Question

What is the sum of the first eight terms of the series?

(−600)+(−300)+(−150)+(−75)+(−37.5)+...



Round the answer to two decimal places.




−1200.50

−1195.31

−1190.63

−1181.25

Answer 1

the answer is 1195.31

Answer 2

The given sequence is a geometric series.

Common ratio can be found as :

(-300/-600) = 0.5

(-150/-300) =0.5

So common ratio is 0.5

First term is -600

The attachment shows the required calculations.

Answer: Sum of eight terms is (-1195.31).