Compute the sum of the first 8 terms in the sequence: 100, - 50, 25, - 12,5. Show work!

100, - 50, 25, - 12.5, 6.25, - 3.125, 1.5625, - 0.78125

Step-by-step explanation:

Each term is being multiplied by - 0.5

How did I know?

Divide the second term by the first.

-50 divided by 100 = - 1/2

Find the last four terms.

-12.5 x - 1/2 = 6.25

6.25 x - 1/2 = - 3.125

-3.125 x - 1/2 = 1.5625

1.5625 x - 1/2 = - 0.78125