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Let r(x) =1/(1-x). What is r(r(r(r(r(r(30)))))) (where r is applied 6 times)?

 Aug 23, 2018
 #1
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r(x)  =  1 / (1 - x)

r(30)  =  1 / ( 1 - 30)  = -1/29

r(r(30))  = r(-1/29)  =    1 / (  1 -  -1/29)  = 1 / (1/ 30)  = 30

r(r(r(30))) =  r(30)  =  1 / (1 - 30)  =  -1/29

 

Note  that the pattern repeats....so when r is applied 6 times we will end up with  -1/29

 

cool cool cool

 Aug 23, 2018

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