CBSE Class 11-science Answered
If x, y, z are in A.P. A1 is the mean of x & y and A2 is the mean of y & z. Then prove that the mean of A1 and A2 is y.
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
Here, x, y, z are in AP, then
![](https://images.topperlearning.com/topper/questions/10684_image010.gif)
Now, A1 = mean of x and y
![](https://images.topperlearning.com/topper/questions/10684_image011.gif)
Also, A2 = mean of y and z
![](https://images.topperlearning.com/topper/questions/10684_image012.gif)
Now, we have to prove that the mean of A1 and A2 is y.
![](https://images.topperlearning.com/topper/questions/10684_image013.gif)
Hence, proved.
Answered by | 04 Jun, 2014, 15:23: PM
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