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Let $k, a_2, a_3$ and $k, b_2, b_3$ be nonconstant geometric sequences with different common ratios. If

\[a_3-b_3=2(a_2-b_2),\]

then what is the sum of the common ratios of the two sequences?

 Apr 16, 2021
 #1
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The sum of the common ratios is 6.

 May 2, 2021

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