Solve the problem.
-A pendulum bob swings through an arc 60 inches long on its first swing. Each swing thereafter, it swings only 90% as far as on the previous swing. How far will it swing altogether before coming to a complete stop?
A) 67 inches
B) 133 inches
C) 300 inches
D) 600 inches

Question

Quizplus · Accepted Answer

The total distance the pendulum swings before coming to a stop can be found using the formula for the sum of an infinite geometric series, S = a / (1 - r), where a is the first term (60 inches) and r is the common ratio (0.9). Plugging these values in gives S = 60 / (1 - 0.9) = 60 / 0.1 = 600 inches.

Solve the Problem. -A Pendulum Bob Swings Through an Arc 60 Inches Long