Sum
The sum of a geometric series is finite as long as the terms approach zero; as the numbers near zero, they become insignificantly small, allowing a sum to be calculated despite the series being infinite. The sum can be computed using the self-similarity of the series.
Read more about this topic: Geometric Series
Famous quotes containing the word sum:
“The ornament is a statuette, a black figure of a bird. I am prepared to pay on behalf of the figure’s rightful owner the sum of $5000 for its recovery. I am prepared to promise, to promise ... what is the phrase?—’No questions will be asked.’”
—John Huston (1906–1987)
“Without doubt God is the universal moving force, but each being is moved according to the nature that God has given it.... He directs angels, man, animals, brute matter, in sum all created things, but each according to its nature, and man having been created free, he is freely led. This rule is truly the eternal law and in it we must believe.”
—Joseph De Maistre (1753–1821)
“The real risks for any artist are taken ... in pushing the work to the limits of what is possible, in the attempt to increase the sum of what it is possible to think. Books become good when they go to this edge and risk falling over it—when they endanger the artist by reason of what he has, or has not, artistically dared.”
—Salman Rushdie (b. 1947)