SOLUTION: A clock pendulum swings through an arc of 30cm. Each successive swing is 10% less. How far will the pendulum swing altogether before coming to a complete stop? The answer is 300

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Question 1117070: A clock pendulum swings through an arc of 30cm. Each successive swing is 10% less. How far will the pendulum swing altogether before coming to a complete stop?
The answer is 300cm.
I am not sure how to do the question above.
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
The sum of the infinite geometric progression with the first term  a = 30 cm   and the common ratio  r = 0.9


S = a%2F%281-r%29 = 30%2F%281-0.9%29 = 30%2F0.1 = 300 cm.

Solved.