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Sudheesh Singanamalla Grade: 12
        

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 ) !!


thanks in advance !

6 years ago

Answers : (1)

vikas askiitian expert
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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