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Mathematics 21 Online
OpenStudy (anonymous):

Find the value of x so that x, 3x+1 and 5x+1 will form a geometric sequence.

OpenStudy (campbell_st):

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

OpenStudy (campbell_st):

I think you'll find there are 2 possible answers for x...

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