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Mathematics 55 Online
OpenStudy (anonymous):

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

OpenStudy (unklerhaukus):

twenty three

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

38 isn't an option for her to choose.

OpenStudy (anonymous):

okay thanks for the help.

OpenStudy (anonymous):

we tried. I'm sorry.

OpenStudy (anonymous):

you're welcome.

OpenStudy (anonymous):

the answer was 80.cm

OpenStudy (anonymous):

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 ...

OpenStudy (anonymous):

18*0.75% = 13,5.

OpenStudy (anonymous):

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

OpenStudy (anonymous):

ah ok.

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

oh okay but i still dont get it

OpenStudy (anonymous):

This is a geometric progression.

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