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

(−800)+(−200)+(−50)+(−12.5)+

round the answer to two decimal places.

−1066.68

−1066.65

−1066.60

−1062.50

-1066.65  to 2 decimal places.

Step-by-step explanation:

(−800)+(−200)+(−50)+(−12.5)+...

This is a Geometric series with common ratio  r =(-200) / ) / (-800)  = 0.25 and first term  a1 = -800.

Sum of n terms = a1 * (1 - r^n) / (1 - r)

Sum of 8 terms = -800 * (1 - 0.25^8) /  (1 - 0.25)

= -800 * 1.333313

= -1066.65.

−1066.65

This is the correct answer! I just took the test

the equivalent expression are always the hardest ones but you look at the gcf also

step-by-step explanation: