For what values of x, the numbers 2/7,x,-7/2 are in G.P.?
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-2/7 ,x , -7/2 are in GP when there is same common ratio i.e. when x/(-2/7) = (-7/2)/x
x^2 = (-2/7)(-7/2)=1
Or, x = ±√1 = ±1, so it is seen that -2/7 ,x ,-7/2 are in GP when x =+1 &-1
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