How Do Fractals Relate to Successive Terms in Mathematical Sequences?

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The discussion centers on a portfolio assignment requiring the application of relationships between mathematical sequences Nn, Ln, Pn, an, and An. Participants express confusion about the wording of the question and the necessary formulas to find the limiting value of n where An+1 equals An to within one millionth of a square unit. It is suggested that spreadsheet software is essential for calculating these values accurately. One user shares a specific equation for An and seeks recommendations for suitable software to perform the calculations. Overall, the thread highlights the need for clarity in mathematical relationships and the utility of software in solving complex equations.
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I have a portfolio due tomorrow and I don't understand the wording of the q

applying the relationship between successive terms of Nn, Ln, Pn, an, and An, use a spreadsheet or similar software to find the values of each parameter up to the value n where An+1 = An to within one millionth of a square unit. (what is the value of this limiting n?)
 
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L²Cc said:
I have a portfolio due tomorrow and I don't understand the wording of the q

applying the relationship between successive terms of Nn, Ln, Pn, an, and An, use a spreadsheet or similar software to find the values of each parameter up to the value n where An+1 = An to within one millionth of a square unit. (what is the value of this limiting n?)
This is why you need software because you do not know what that value is yet. I am a little confused as to what the question is asking as well but do the terms Nn etc. have forumlae assosiated with them?

The Bob (2004 ©)
 
L²Cc said:
I have a portfolio due tomorrow and I don't understand the wording of the q

applying the relationship between successive terms of Nn, Ln, Pn, an, and An, use a spreadsheet or similar software to find the values of each parameter up to the value n where An+1 = An to within one millionth of a square unit. (what is the value of this limiting n?)
Sincd you have told us nothing about the "relationship", I don't see how you can expec anyone to give you advice. Apparently you are given some equation relating these various things. All I can say is enter the formula into whatever software you are using and repeatedly calculate An until a the first five decimal places (1 milliionth) start repeating
 
sorry for the lack of info but yes I do have equations. I'm conncted from a phone so it would be pretty hard to write out MY equation for An...here's the equation in words: square root of 3 over 4 + square root of 3 over 12 * ((9/5 -9/5(4/9)^n)... what software do you advise me to use?
 
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oh I got it thanks hallsofivy...your explanation was the most accurate!
 

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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