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Find the value of x so that x, 3x+1 and 5x+1 will form a geometric sequence.
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the common ratios need to be equal \[(3x +1)/x = (5x+1)/(3x+1)\] get a common denominator and letting it = 0 \[(3x +1)^2 - x(5x+1) = 0\] expand, collect like terms and then solve the quadratic
I think you'll find there are 2 possible answers for x...
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