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## Main Question or Discussion Point

Assume that I have absolutely no clue to what is the formula used to generate a sequence.

How do I know what kind of formula that is? (Exponential / Linear / Polynomial / etc)

Also assume that there is only 1 formula that generates the sequence.

I have read somewhere before that:

f'(x) ~ f(x+1)-f(x) as x -> infinity; is this true?

How do I know what kind of formula that is? (Exponential / Linear / Polynomial / etc)

Also assume that there is only 1 formula that generates the sequence.

I have read somewhere before that:

f'(x) ~ f(x+1)-f(x) as x -> infinity; is this true?