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in reply to [OT] math fulguration

Yes, as jo37 said, it is known, though they meant geometric series – the binomial formula would have binomial coefficients.

Note: The wikipedia formula is a more general form and written a different way. Divide out the "a" then note that (1-xⁿ)/(1-x) = (xⁿ-1)/(x-1). Then solve for xⁿ.

Good Day,
    Dean

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Re^2: [OT] math fulguration
by salva (Canon) on Apr 07, 2021 at 12:55 UTC
Re^2: [OT] math fulguration
by jo37 (Deacon) on Apr 07, 2021 at 17:06 UTC
    though they meant geometric series

    Maybe that has a cultural aspect. Here in Germany the equation x² - y² = (x - y)(x + y) is known as the "third binomial formula" with a generalization to the n-th power as cited.

    Greetings,
    -jo

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