solve the arithmetic progression
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x, y and z are in AP.
So x+z=2y.
A1 = AM of x and y
A1 = (x+y)/2
Similarly, A2 = AM of y and z
So A2 = (y+z)/2
AM of A1 &A2 = (x+z+2y)/4
= (2y+2y)/4 = y , as x+z = 2y
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Answered by
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Answer:
Step-by-step explanation:
Here,x,y,z are in AP.=>x+z=2y
We know,Arithmetic mean of two numbers a and b is (a+b)/2.
Hence,A1=(x+y)/2.
A2=(y+z)/2.
Arithmetic mean of A1 and A2=(A1+A2)/2=(x+y+y+z)/4.
Since,x+z=2y
Therefore,Arithmetic mean=(2y+2y)/4=y
Hope you understood
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