Solve the problem.
-A pendulum bob swings through an arc 50 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? Round to the nearest inch when necessary.
A)500 inches
B)56 inches
C)250 inches
D)111 inches 8.4 Mathematical Induction
1 Understand the Principle of Mathematical Induction

Question

Quizplus · Accepted Answer

This is a geometric series problem where the first term $a = 50$ inches and the common ratio $r = 0.9$. The sum $S$ of an infinite geometric series is given by $S = \frac{a}{1 - r}$, so substituting the given values, $S = \frac{50}{1 - 0.9} = 500$ inches.

Solve the Problem. -A Pendulum Bob Swings Through an Arc 50 Inches Long