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Mathematical logic question

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Check out **geometric series**, there's a formula for the **partial sum** of its terms:

x^a + x^(a+1) + x^(a+2) + ... + x^b

= (x^a - x^(b+1)) / (1 - x)

= (x^(b+1) - x^(a)) / (x - 1)

(It's not a short explanation, it would require a bunch of algebra)

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