SOLUTION: 12. Three consecutive terms of a geometric sequence are x - 3, 6, and x + 2. a. Find the possible values of x.

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Question 1104314: 12. Three consecutive terms of a geometric sequence are x - 3, 6, and x + 2.
a. Find the possible values of x.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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From the condition, you have this PROPORTION

%28x%2B2%29%2F6 = 6%2F%28x-3%29.


It follows directly from the DEFINITION of a geometric progression.


Cross multiply the equation


(x+2)*(x-3) = 36.


Now solve the quadratic equation.


Answer.  x= 7   OR   x= -6.