Solve.
-A pendulum bob swings through an arc 70 inches long on its first swing. Each swing thereafter, it swingsonly 70% as far as on the previous swing. How far will it swing altogether before coming to a completestop?
A)233 inches
B)100 inches
C)117 inches
D)200 inches

Question

Quizplus · Accepted Answer

The total distance the pendulum swings can be found using the formula for the sum of a geometric series, S = a / (1 - r), where a is the first term (70 inches) and r is the common ratio (0.7). Plugging these values in gives S = 70 / (1 - 0.7) = 70 / 0.3 = 233.33 inches. Since the question likely assumes a rounding to the nearest whole number, the answer is 233 inches.

Solve. -A Pendulum Bob Swings Through an Arc 70 Inches Long