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I attempted part a by trying to factor, but I had no luck. Can anyone please help?

 Oct 5, 2018
edited by Julius  Oct 5, 2018
edited by Julius  Oct 5, 2018
 #1
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P=0.25; R=1.5;  listfor(m,1, 30,P=R*P*(1-P))[THIS IS THE SIMPLE LOOP THAT GENERATES THE FOLLOWING RESULTS]:
(0.28125, 0.3032226563, 0.3169180155, 0.3247214804, 0.3289161609, 0.33109548, 0.3322068947, 0.3327682107, 0.333050293, 0.333191693, 0.3332624831, 0.3332979007, 0.3333156151, 0.3333244738, 0.3333289034, 0.3333311184, 0.3333322258, 0.3333327796, 0.3333330565, 0.3333331949, 0.3333332641, 0.3333332987, 0.333333316, 0.3333333247, 0.333333329, 0.3333333312, 0.3333333323, 0.3333333328, 0.3333333331, 0.3333333332)
As you can see, they are trending towards P=(R - 1)/R =(1.5 - 1)/1.5 =0.5/1.5 =1/3 =0.3333333......ETC.

 Oct 5, 2018
 #2
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how do you get those points tho?

Julius  Oct 5, 2018
 #3
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As you can see in your question, they have given you a "formula": P(n+1) =RP(n)(1 - P(n). You would plug in the initial values given to you: P(0)=0.25 and R=1.25. This is a "recursive formula" where the first result is fed back into the formula to generate the next value, and then that is fed back into the formula to generate the next value and so on for 30 values. I simply wrote a very short computer code to calculate the values for you. 

 Oct 5, 2018
 #4
avatar+100093 
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JULIUS

NEVER DELETE YOUR QUESTIONS!

 

It is extremely rude and the owner of this site has been known to delete the accounts of people who do this!

 Oct 5, 2018

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