SOLUTION: The first 3 terms of a G.P are x,x+2,x+3, then value of x is?

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Question 1043578: The first 3 terms of a G.P are x,x+2,x+3, then value of x is?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Common Ratio to each successive term.

%28x%2B2%29%2Fx=%28x%2B3%29%2F%28x%2B2%29

x%28x%2B2%29%28x%2B2%29%2Fx=x%28x%2B2%29%28x%2B3%29%2F%28x%2B2%29

%28x%2B2%29%5E2=x%28x%2B3%29

x%5E2%2B4x%2B4=x%5E2%2B3x

4x%2B4=3x

x%2B4=0

highlight%28x=-4%29, and you can evaluate the next two terms.