SOLUTION: Find x if the sequence 8, x, (5/2)x is geometric. How is this done?

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Question 1034286: Find x if the sequence 8, x, (5/2)x is geometric. How is this done?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52782)   (Show Source): You can put this solution on YOUR website!
.
I see here three terms that are not part of a geometric sequence.


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Find x if the sequence 8, x, (5/2)x is geometric. How is this done?
With this being a GP, we EQUATE terms as follows: .
We then get:






2x = 40 ------- Cross-multiplying

Hence, this is a GP, with , and
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