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When the same constant is added to the numbers 60, 100, and 260 a three-term geometric sequence arises. What is the common ratio of the resulting sequence?

 Sep 5, 2022
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[100 + n] / [60 + n] ==[260 + n] / [100 + n], solve for n

 

n== - 46 2/3 - this is the constant.

 

Your 3-term GP will look like this:


40/3,  160/3,  640/3


[160/3] / [40/3]==4 - this is the common ratio.

 Sep 5, 2022

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