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sires to function

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i need help with finding  a function that describes this sires 
            {a=1+2-3x4÷5+6-7x8÷9... }
i know that it most likely converges on 0 ( the values fluctuate between + and - #'s and get smaller as X approaches infinity)

here are some values for the sires

{1,3,0,-9,.6,-.4,-49.4,17/45,467/45,-28/45,-5475/45,131/585,8321/585,-454/585,-132079/585...} 

excluding the first six terms, the terms switch between positive and negative after two iterations.

the denominators stay the same for four iterations then increase 
 i hope this is enough have fun

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sires to function Bo Hittle <Bohittle18@gmail.com> - 2016-11-30 16:07 +0000

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