What are the possible values of x in this geometric series?

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SUMMARY

The discussion focuses on solving for the possible values of x in the geometric series defined by the terms (x-2), (x+5), and (4x-8). Participants confirm that the ratio of consecutive terms must remain constant, leading to the equation (x+5)/(x-2) = (4x-8)/(x+5). Through solving this proportion, the values of x are determined to be -1/3 and 9.

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john1
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Hey guys i was having trouble on this question so i was wondering if someone could help me :)

In a geometric series, (x-2),(x+5), and (4x-8) are consecutive terms. Determine all possible values of x.

:confused:
 
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What do you know about geometric series? Any given term is just the previous term multiplied by a constant (usually called r). It doesn't matter which two terms you look at - the constant is always the same. So, the ratio of your 2nd term to your 1st term should be the same as the ratio of your 3rd term to your 2nd term. Set up the proportion and solve.
 
hmm yea that seems much easier now
:rolleyes:

i got -1/3 and 9 :smile:

THANKS FOR UR HELP!
 

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