If `1/(a+b),1/(2b),1/(b+c)` are three consecutive terms of an A.P., prove that `a ,b ,c` are the three consecutive terms of a G.P.

Explanation

Given that,


`1/(a+b),1/(2b),1/(b+c)`
are three consecutive terms of an A.P


`=>2/(2b)=1/(a+b)+1/(b+c)`


{taking arithmetic mean - to get the relation}
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