SOLUTION: 1.A pendulum swings through an arc of 660 centimeters. On each successive swing, the length of the arc is 6/7 of the previous length. Find th total distance the pendulum travels b
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Question 38069: 1.A pendulum swings through an arc of 660 centimeters. On each successive swing, the length of the arc is 6/7 of the previous length. Find th total distance the pendulum travels before it comes to rest.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
This is an infinite series with a1 = 660 and r = 6/7. The formula for the sum of such a series is
S(infinity) = a1 / (1 - r) = 660 / (1 - 6/7) = 660 / (1/7) = 4620 cm
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