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What is the sum of X+XX+XXX+XXXX?

13.06.2025 00:19

What is the sum of X+XX+XXX+XXXX?

Given the use of upper case, I personally would initially assume Roman numerals*, so the answer would be C (100 in present-day decimal notation)

However, X +X^2 +X^3 + X^4 is a valid algebraic answer,

and for binary would be

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It’s a matter of interpretation.

as would be assuming that these are representations of conventional numbers, in which case the answer for number bases of five or more would be

What is the sum of X+XX+XXX+XXXX?

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*Note that the abbreviation XL (for XXXX) appeared quite late in the Roman period, and never found universal favour

1234X

11010X

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