SOLUTION: .Find k so that the numbers 2k+1, 3k+4, and 7k+6 form a geometric sequence

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Question 981788: .Find k so that the numbers 2k+1, 3k+4, and 7k+6 form a geometric
sequence

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
A geometric sequence forms when there is a common ratio r.

To find the common ratio r, divide a given term by the previous term

So if you picked the second term as the "given term", then...



If you picked the third term as the "given term", then...



The two r values are the same, so we can equate the expressions to get


Now solve the equation for k. I'll let you do this part.

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