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What's happening in this number series?

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You have the following series

354, 180, 64, 21, 10.2, 8.7

 

Would anyone know what is causing the series to turn out like this?

Like if the first couple of memebers in the number series can represented as the following:

[math]{a}_{0} = 354[/math]

[math]{a}_{1} = 180[/math]

Is there some sort of recursive relationship that would allow one to find the value for [math]{a}_{i}[/math]?

Edited by liars_paradox

I was suspicious with your "Summation problem" post and this time I'll ask; is this homework?

One of the infinite possible answers:

[math]a_x = {\frac {737}{1200}}\,{x}^{5}-{\frac {127}{15}}\,{x}^{4}+{\frac {9107}{

240}}\,{x}^{3}-{\frac {2087}{60}}\,{x}^{2}-{\frac {16931}{100}}\,x+354

[/math]

Edited by the tree

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