# CBSE Class 11-science Answered

**If x, y, z are in A.P. A**

_{1}is the mean of x & y and A_{2}is the mean of y & z. Then prove that the mean of A_{1}and A_{2}is y.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM

Expert Answer

Here, x, y, z are in AP, then

_{}

Now, A

_{1}= mean of x and y_{}

Also, A

_{2}= mean of y and z_{}

Now, we have to prove that the mean of A

_{1}and A_{2}is y._{}

Hence, proved.

Answered by | 04 Jun, 2014, 03:23: PM

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