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Now lets do it using the geometric method that is repeated multiplication, in this case we start with x goes from 0 to 5 and our sequence goes like this: 1, 2, 2 2=4, 2 2 2=8, 2 2 2 2=16, 2 2 2 2 2=32. The conflicts have made me more confused about the concept of a dfference between Geometric and exponential growth. geometric vs arithmetic sequences Ask Question Asked 11 years, 10 months ago Modified 11 years, 10 months ago The geometric mean is a useful concept when dealing with positive data.
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But for negative data, it stops being useful. Even in the cases where it is defined (in the real numbers), it is no longer guaranteed to give a useful response. Consider the "geometric mean" of $-1$ and $-4$. Your knee-jerk formula of $\sqrt { (-1) (-4)} = 2$ gives you a result that is obviously well removed from the ...
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Proof of geometric series formula Ask Question Asked 4 years, 6 months ago Modified 4 years, 6 months ago None of the existing answers mention hard limitations of geometric constructions. Compass-and-straightedge constructions can only construct lengths that can be obtained from given lengths by using the four basic arithmetic operations (+,−, ,/) and square-root. It’s well known that the geometric mean of a set of positive numbers is less sensitive to outliers than the arithmetic mean. It’s easy to see this by example, but is there a deeper theoretical reas... Why is the geometric mean less sensitive to outliers than the ...
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21 It might help to think of multiplication of real numbers in a more geometric fashion. $2$ times $3$ is the length of the interval you get starting with an interval of length $3$ and then stretching the line by a factor of $2$. For dot product, in addition to this stretching idea, you need another geometric idea, namely projection.