Math, asked by jaibhawani762, 9 months ago

if Arithmetic mean is 25 and harmonic mean is 9 find Geometric mean​

Answers

Answered by Manideep1105
16

Answer:

Step-by-step explanation:

(GM)^2=AM×HM

So,

(GM^2)=25×9

(GM)^2=225

GM=15

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Answered by TanikaWaddle
10

The value of Geometric mean is 15

Step-by-step explanation:

let the numbers be a and b

then

Arithmetic mean AM = \frac{a+b}{2}..1

harmonic mean HM = \frac{2ab}{a+b}..2

from 1 and 2

ab = AM × HM ...3

we need to find out the GM which is given by

GM = \sqrt{ab}

from 3 equation

GM =\sqrt{AM\times HM }

placing  the value we get

GM = \sqrt{25 \times 9}

GM = 5× 3

GM = 15

hence, Geometric mean is 15

#Learn more:

If the arithmetic mean is 25 and the harmonic mean is 15 then the geometric mean is

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