- #1

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## 1 , \frac{5}{3} , 1 , \frac{15}{17} , 1 , \frac{37}{35} , 1 , \frac{63}{65} ,... ##

Thank you!

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- Thread starter Denisse
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- #1

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## 1 , \frac{5}{3} , 1 , \frac{15}{17} , 1 , \frac{37}{35} , 1 , \frac{63}{65} ,... ##

Thank you!

- #2

mfb

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If you look for the "easiest" expression, there could be something simple, but I don't see it at the moment.

The numerator seems to follow the pattern (same as denominator, 2 more, same, 2 less, same, 2 more, ...).

I don't see a clear pattern for the denominator, however.

- #3

- #4

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Think about perfect squares.

Perfect squares? How? I don't see it

- #5

MarneMath

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- #6

mfb

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Oh, nice. I was too focused on powers of 2, which are close (+1, or +3 in one case) to all of the "visible" denominators.Think about perfect squares.

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