MHB Decreasing Values: 1.000000 to 0.670625

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The values presented show a decreasing trend from 1.000000 to 0.670625, indicating a non-linear pattern that does not fit traditional arithmetic or geometric sequences. A best fit strategy is suggested for estimating the trend, emphasizing the importance of understanding the source of these numbers for better analysis. Participants discuss the potential for curve fitting to model the data effectively. The conversation highlights the need for clarity on the origin of the data to enhance the fitting process. Overall, the focus is on finding an appropriate method to analyze the decreasing values.
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1.000000
0.912606
0.837875
0.781625
0.737125
0.700875
0.670625
 
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It seems to be neither arithmetic nor geometric. You can estimate it with a best fit strategy if that is good enough. It might help if you could tell us where you are getting these numbers from.

-Dan
 
blueberry123 said:
1.000000
0.912606
0.837875
0.781625
0.737125
0.700875
0.670625

not a bad curve fit ... what do you think?

quadgraf.png
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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