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 possibility of rule as the sum of rulelessness:”
—Archie Randolph Ammons (b. 1926)
“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)
“Never is a historic deed already completed when it is done but always only when it is handed down to posterity. What we call “history” by no means represents the sum total of all significant deeds.... World history ... only comprises that tiny lighted sector which chanced to be placed in the spotlight by poetic or scholarly depictions.”
—Stefan Zweig (18811942)