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Suppose a,b,c are in A.P and a^2,b^2,c^2...

Suppose a,b,c are in A.P and `a^2,b^2,c^2` are in G.P If `a

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`a,b,c` are in AP. Note whenever 3 terms are given in AP assume them to be m-d,m,m+d.
`a+b+c=3m=3/2`
`m=1/2`
given `a^2,b^2,c^2` are in G.P.
so `b^4=a^2 xx c^2`
`m^4=(m-d)^2 xx (m+d)^2`
on solving we get, `d^2(d^2-2m^2)=0`
d cannot be equal to 0 so `(d^2-2m^2)=0`
...
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