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Is there a general extrapolation formula (or other *simple* quantitative technique) for projecting values in a given series?

I have these numbers in a certain series sequence:

x=1, y=-3.80, x=2, y=-4.15, x=3, y=-4.47, x=4, y=-4.77, x=5, y=-5.05, x=6, y=-5.27, -5.40

Question is: does y converge to a definite final value? What is that value likely to be? I would guess somewhere around -6.0, but I want to know with more precision.

Thanks for any pointers.

AA

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# Extrapolation formulae

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