They refer to different branches of mathematics.
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The difference between arithmetic and geometric mean you can find in the following link: "Calculation of the geometric mean of two numbers".
You can find the differences between arithmetic and geometric mean in the following link: "Calculation of the geometric mean of two numbers".
they look like arithmetic and geometric patterns in math
an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.
In geometric growth the ratios of successive terms is the same whereas in arithmetic growth the differences are the same.