A pendulum Makes an arc of length of 18 in. on its first swing. On Each suceeding Swing,The length of the arc is one-third the lenght of the preceding swing.How far does the Tip of the pendulum move before it comes to rest?

Question

Infinite Geometric Sequence

3641 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-08-03T07:43:55

Total length of the path that the tip of the pendulum traverses before coming to rest will be

#=18(1+1/3+1/3^2+1/3^3....."up to "oo)# in.

#=18*(1/(1-1/3))# in

#=18*3/2=27# in.