Q. 83.7( 3 Votes )

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.

Answer :

Given that,

A1 = AM of x and y

And A2 = AM of y and z


AM of A1 and A2

Since x, y, z are in AP,

Finally, AM =

Hence proved.

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