jamies old grandfathers clock is broken.when she tries to set the pendulum in motion by holding it against the side of the clock and letting it go,it first swings 24 centimeters to the other side,then 18 centimeters back then 13.5 centimeters and so on.what is the total distance that the pendulum swings?
a.80.cm
b.96.cm
c102cm
d100cm

Question

jamies old grandfathers clock is broken.when she tries to set the pendulum in motion by holding it against the side of the clock and letting it go,it first swings 24 centimeters to the other side,then 18  centimeters back then 13.5 centimeters and so on.what is the total distance that the pendulum swings?
a.80.cm
b.96.cm
c102cm
d100cm

unklerhaukus · Answer

twenty three

anonymous · Answer

i got 68.

I identified there was a pattern of a 0.5 decrease with every swing.

The first is 24 then 18 then 13.5 then 8.5 then 4 before it reaches 0. 

When i add it altogether, I get 68.

anonymous · Answer

38 isn't an option for her to choose.

anonymous · Answer

okay thanks for the help.

anonymous · Answer

we tried. I'm sorry.

anonymous · Answer

you're welcome.

anonymous · Answer

the answer was 80.cm

anonymous · Answer

The partern is tha in wich swing you have a decrease in 0.75 %  in relation of the previous swing. 24*0.75=18 and ...

anonymous · Answer

18*0.75% = 13,5.

anonymous · Answer

thanks but i just guessed and it was 80 i dont know how but it was 80

anonymous · Answer

ah ok.

anonymous · Answer

It´s easy to see that if you divide 18/24 you will find 0.75.

anonymous · Answer

If you multiple 13,5*0.75 we will get 10.125 and so on until the valeu get to close zero.

anonymous · Answer

oh okay but i still dont get it

anonymous · Answer

This is a geometric progression.