SOLUTION: the bob of a pendulum swings through an arc of 24cm long on its first swing. if each succesive swing is apporximately 5/6ths the length of the preceding swing, use an infinite geom

Algebra ->  Sequences-and-series -> SOLUTION: the bob of a pendulum swings through an arc of 24cm long on its first swing. if each succesive swing is apporximately 5/6ths the length of the preceding swing, use an infinite geom      Log On


   



Question 339877: the bob of a pendulum swings through an arc of 24cm long on its first swing. if each succesive swing is apporximately 5/6ths the length of the preceding swing, use an infinite geometric series to approximate the total distance the bob travels
Answer by stanbon(75887) About Me  (Show Source):
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the bob of a pendulum swings through an arc of 24cm long on its first swing. if each succesive swing is apporximately 5/6ths the length of the preceding swing, use an infinite geometric series to approximate the total distance the bob travels
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Infinite geometric series.
Sum = a/(1-r)
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Sum = 24/(1-(5/6))
= 24/1-6
= 144 cm
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Cheers,
Stan H.