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Take any positive number.
Add 20, then take the square root of the result.
Add 20, then take the square root of the result again.
Add 20, then take the square root of the result again.

If you continued doing this, what value would the results converge to?

 Jul 3, 2020
 #1
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It would converge to 5, no matter what number you started with!! I wrote a little code starting with number 37.This is the result after 5 iterations:

 

i=0;a=37;b=20; c=2# (d+b);d=2#(c + b);printd;i++;if(i<10, goto3, 0)

 

5.002481161
5.000024811
5.000000248
5.000000002
5
 

 Jul 3, 2020

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