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IF X,Y,Z ARE IN H.P.;Y,Z,T ARE IN G.P. AND Z,T,S ARE IN A.P THEN S=
x,y,z in hp so y=2xz/x+z
z=xy/(2x-y) ........(1)
y,z,t r in gp so z^2=ty
t=z^2/y
from eqn 1
t=x^2y/(2x-y)^2 ........(2)
z,t,s r in ap so t=(z+s)/2
s=2t-z
by putting the value of z, t from eqn 1 &2
s=[2x^2y-xy(2x-y)]/(2x-y)^2
=[2x^2y-2x^2y+xy^2]/(2x-y)^2
xy^2/(2x-y)^2
okkk i thnk u got ur ans
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