a,b,c are three distinct real numbers and they are in G.P. If a+b+c = xb, then prove that x<-1 or x>3.

Let us consider

when, both ratio is (+)ve.

A.M > G.M

Matrix a × value of is –2.

For example, let us take a G.P series 1, –2, 4.

Hence, a = 1, b = –2 and c = 4.

let us take another G.P series 6, –12, 24.

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