Question

if A1 and A2 are to arithmetic means and G1 and G2 are two geometric means between two positive number a and b then find the value of A1+A2/G1*G2​

Answer 1

Answer:

Step-by-step explanation:

a=p  

3

,b=q  

3

 

Then G1=p  

2

q

G2=pq  

2

 

G1G2=p  

3

∗q  

3

=ab

and b=a+3d

d=(b−a)/3

A1=a+(b−a)/3=2a/3+b/3

A2=a+2d=a+(b−a)2/3=a/3+2b/3

A1+A2=a+b

(A1+A2)/(G1G2)=(a+b)/ab

Answer 2

Answer:

a/b

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