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If x=sum(n=0)^ooa^n , y=sum(n=0)^oob^n ,...

If `x=sum_(n=0)^ooa^n , y=sum_(n=0)^oob^n , z=sum_(n=0)^ooc^n , w h e r e ra ,b ,a n dc` are in A.P. and `|a|<,|b|<1,a n d|c|<1,` then prove that `x ,ya n dz` are in H.P.

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