SOLUTION: What is the common ration of the sequence 1, 2/3, 3/5, 4/7, 5/9..... I've spent awhile on it, and I can't figure it out.

Algebra ->  Sequences-and-series -> SOLUTION: What is the common ration of the sequence 1, 2/3, 3/5, 4/7, 5/9..... I've spent awhile on it, and I can't figure it out.      Log On


   



Question 453515: What is the common ration of the sequence 1, 2/3, 3/5, 4/7, 5/9..... I've spent awhile on it, and I can't figure it out.
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1 is added to the numerator, and 2 is added to the denominator.
--> (n+1)/(2n+1)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the common ratio of the
sequence 1, 2/3, 3/5, 4/7, 5/9.....
---
If there is a common ration you would have:
(2/3)/1 = 2/3
(3/5)/(2/3) = 9/10
(----
Since these ratios are not the same,
there is no common ratio.
The sequence is not geometric.
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Cheers,
Stan H.