Jasmine's old grandfather clock is broken. when she tries to set the pendulum in motion by holding it against the side of the clock and letting it go, it first swings 24 centimeteres to the other side, then 18 centimeters back, then 13.5 centimeters, and so on. what is the total distance that the pendulum swings?

a. 80 cm
b. 96 cm
c. 102 cm
c. 100 cm

Question

Jasmine's old grandfather clock is broken. when she tries to set the pendulum in motion by holding it against the side of the clock and letting it go, it first swings 24 centimeteres to the other side, then 18 centimeters back, then 13.5 centimeters, and so on. what is the total distance that the pendulum swings?

a. 80 cm
b. 96 cm
c. 102 cm
c. 100 cm

anonymous · Answer

Those choices seem unrealistic! I come up with 32 cm.

anonymous · Answer

Yea i don't understand this problem.

dumbcow · Answer

its a geometric sequence
24*.75 = 18
18*.75 = 13.5

find the infinite sum of geometric sequence
$$S_n = \frac{a_1}{1-r}$$
a1 = 24
r = .75

anonymous · Answer

whats the goddamn answer?

anonymous · Answer

CAN I GET HELP PLEASE