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What is the funtion of this sires

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Bo Hittle

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Nov 29, 2016, 2:20:00 PM11/29/16
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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⇾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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