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[" Let "a," be the "n''" term of the G.P of positive numbers.Let "sum_(m=1)^(m)a_(1n)=alpha" and "sum_(m=1)^(m)a_(n-1)=beta],[" such that "alpha!=beta" ,then the common ratio is "],[[(alpha)/(beta),2(beta)/(alpha),root(3)(beta),4)sqrt((beta)/(alpha))]]

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