ellipsis
Explanation
The Joke
The comic introduces a fictional mathematical concept: "Lucky Moron Sequences," defined as any convergent series such that the sum of finitely many initial terms equals the sum of the full infinite series. Two teachers are watching a student at a chalkboard who has been asked to solve: "24 + 12 + 6 + 3 + ... = ?" The student has written "48." One teacher is amazed: "I... wow, you've never studied series and you got it instantly." The other teacher provides the explanation: "The 'plus three dots' part means 'plus 3,' right?"
The student got the correct answer (the infinite geometric series 24 + 12 + 6 + 3 + 1.5 + ... does indeed converge to 48) but for completely the wrong reason. The student interpreted the ellipsis ("...") not as the mathematical notation meaning "and so on continuing the pattern forever," but as literally meaning "plus 3" -- reading the three dots as the number 3. So the student simply computed 24 + 12 + 6 + 3 + 3 = 48, which happens to equal the correct infinite sum by coincidence.
The Humor
The comedy is built on a beautiful mathematical coincidence. For this specific geometric series (ratio = 1/2, first term = 24), adding the literal value 3 (misreading the ellipsis) to the partial sum of the explicitly written terms gives the same result as computing the actual infinite sum. The "Lucky Moron Sequence" definition at the top formalizes this coincidence into mock-mathematical language, as if it were a real area of study. The joke works on two levels: it is funny on its surface as a story about a student accidentally getting the right answer, and it is genuinely clever mathematics that rewards readers who check the arithmetic. The alt text ("Half of you are rolling your eyes because it's too dorky and half of you are rolling your eyes because it's not dorky enough") acknowledges the comic's position straddling the line between too nerdy and not nerdy enough.
References
- Geometric series: The series 24 + 12 + 6 + 3 + ... is a geometric series with first term a = 24 and common ratio r = 1/2. Its sum is a/(1-r) = 24/0.5 = 48.
- Ellipsis in mathematics: The notation "..." (three dots) is used in mathematics to indicate that a pattern continues. The humor depends on the dual meaning of these three dots -- mathematical continuation vs. a literal reading as the digit 3.
- Convergent series: The formal definition at the top of the comic uses real mathematical notation to define when this lucky coincidence occurs, adding a layer of humor for mathematically literate readers.