SOLUTION: For what value of x, the number -2/7,x,-2/7 in gp

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Question 979036: For what value of x, the number -2/7,x,-2/7 in gp

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Geometric? MAYBE an alternating sequence.

system%28x%2F%28-2%2F7%29=r%2C-%282%2F7%29%2Fx=r%29

r=-7x%2F2%2Cr=-2%2F%287x%29

both formulas for r must be true.
-7x%2F2=-2%2F%287x%29
7x%2F2=2%2F%287x%29
7x%2A7x=2%2A2
x%5E2=%282%2A2%29%2F%287%2A7%29
x=0%2B-+2%2F7-------either or any of these can work.