Q8 of 167 Page 19

If x, y, z are in A.P. and A1is the A.M. of x and y, and A2 is the A.M. of y and z, then prove that the A.M. of A1 and A2 is y.

Given that,


A1 = AM of x and y


And A2 = AM of y and z


So,



AM of A1 and A2




Since x, y, z are in AP,


Finally, AM =


Hence proved.


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