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lidiya [134]
3 years ago
15

If √6 is the geometric mean between 4 and another number, then the number is

Mathematics
1 answer:
joja [24]3 years ago
4 0
If you have two numbers x, y.  The geometric mean is:  √xy

For 4 and x.  Geometric Mean =  √4x  and this is equal to √6

             √4x  =  √6     Square both sides.  The square root disappears.

               4x = 6 
                 x  = 6/4 = 3/2 = 1.5

The other number is 1.5.

 
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Allow me to prove the result: odd numbers come in the form 2n-1, because 2n is always even, and the number immediately before an even number is always odd.

So, if we sum the first N odd numbers, we have

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