Math, asked by manish6264, 1 year ago

find the g.m between 8 and 32


brunoconti: resend for a correct solution
brunoconti: how do you BRAINLIEST the wrong answer?
brunoconti: resend the question
brunoconti: suit yourself
manish6264: find the g.m between 8 and 32
brunoconti: post the question again so i can answer

Answers

Answered by palaksute28
0

What is the meaning of g. m


manish6264: geometric mean
manish6264: do u know about it?
palaksute28: noo
Answered by ab1234567890
4

mean=8+32/2=20

.....hope it helps


manish6264: but the answer is 16
ab1234567890: Geometric mean of 8 and 32 
L=a*r^(n-1) 
L=32
a=8
n=3
32=8*r^(3-1)
32=8*r^2
r^2=32/8
r^2=4
r=sqrt4
r=+-2 ans.
Proof:
8,[16],32
8,[-16],32 
ab1234567890: sorry but mistake I wrote 20
manish6264: what is this?
ab1234567890: correct answer is 16 only
ab1234567890: solution of the question
ab1234567890: If three quantities are in Geometric Progression then the middle one is called the geometric mean of the other two.

Let, three numbers a, G and b are in Geometric Progression then, the middle number G is called the geometric mean between two numbers a and b.

⇔ a, G, b are in Geometric Progression

⇔ GaGa = bGbG = common ratio.

⇔ G22 = ab

⇔ G = ±√ab
manish6264: could u send me a pic of ur solution
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