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```        If A1 and A2 be two AM 's and G1 and G2 be GM 's between 'a' and 'b', then find the value of (A1+A2) / ( G1*G2 ) !!
6 years ago

510 Points
```										A1 , A2 are inserted bw a,b ...
total terms now are 4 ...
let common difference is d then
a+(n-1)d = b
a+(4-1)d = b
3d = b-a .................1
second term is A1 = a+d
third term is A2 = a+2d
A1+A2  = 2a+3d = 2a+b-a                        (by using 1)
=a+b
now if A1,A2 are Gm's bw a,b then
arn-1 = b
ar3 = b
r3 = b/a    ............2
2nd term is A1 = ar
third term is A2 = ar2
A1A2 = a2r3 = ab              (by using 2)
now A1+A2/A1A2 = a+b/ab
approve if u like my ans
```
6 years ago
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