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If x ,1,a n dz are in A.P. and x ,2,a n ...

If `x ,1,a n dz` are in A.P. and `x ,2,a n dz` are in G.P., then prove that `x ,a n d4,z` are in H.P.

Text Solution

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`{:("x,1,z" " are in " A.P.rArr2=x+z),("x,2,z " "are in G.P" rArr 4=xz):}`]
`therefore4=(2xz)/(x+z)`
Therefore, x, 4, z are in H.P.
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