Solve the problem.
-A pendulum swings through an arc of 160 centimeters. On each successive swing, the length of the arc ise length of the arc is $\frac { 2 } { 3 }$ of o the length of the previous length. Find the total distance the pendulum travels before it comes to rest.
A)240 cm
B)215 cm
C)530 cm
D)480 cm

Question

Quizplus · Accepted Answer

The total distance traveled by the pendulum before it comes to rest can be found using the formula for the sum of an infinite geometric series, $S = \frac{a}{1 - r}$, where $a$ is the first term and $r$ is the common ratio. Here, $a = 160$ cm and $r = \frac{2}{3}$. Thus, the total distance is $S = \frac{160}{1 - \frac{2}{3}} = \frac{160}{\frac{1}{3}} = 480$ cm.

Solve the Problem 23\frac { 2 } { 3 }32​ Of O the Length of the Previous Length

Solve the Problem $\frac { 2 } { 3 }$ Of O the Length of the Previous Length