A child on a swing is given a big push. She travels12 feet on the first back-and-forth swing but only5/6 as far on each subsequent back-and-forth swing. How far (total distance) does she travel before the swing stops?

Select one:

A.84 ft/ B.12ft / C.72 ft/ D.14 ft

Choose the correct justification for whether a finite sum of the geometric series7+49+343+2401+... is possible.

A.Sincer > 1, the series is divergent and the finite sum cannot be determined.

B.Sincer > 1, the series is divergent and the finite sum can be determined.

C.Since1< r < 1 , the series is convergent and the finite sum can be determined.

D.Since1< r < 1, the series is convergent and the finite sum cannot be determined.