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Let x gt 0, y gt 0, z gt 0 are respectiv...

Let `x gt 0`, `y gt 0`, `z gt 0` are respectively the `2^(nd)`, `3^(rd)`, `4^(th)` terms of a `G.P.`and `Delta=|{:(x^(k),x^(k+1),x^(k+2)),(y^(k),y^(k+1),y^(k+2)),(z^(k),z^(k+1),z^(k+2)):}|=(r-1)^(2)(1-(1)/(r^(2)))` (where `r` is the common ratio), then

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