Asked by ajay

for the what value of x the numbers x-2, x,x+3 are in g.p.
Answered by Steve
when their ratios are equal. So, you need

x/(x-2) = (x+3)/x
x^2 = (x+3)(x-2)
x^2 = x^2+x-6
x-6 = 0
x = 6

4,6,9 have the common ratio 3/2
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