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:
“Lest darkness fall and time fall
In a long night when learned arteries
Mounting the ice and sum of barbarous time
Shall yield, without essence, perfect accident.
We are the eyelids of defeated caves.”
—Allen Tate (1899–1979)
“If the twentieth century is to be better than the nineteenth, it will be because there are among us men who walk in Priestley’s footsteps....To all eternity, the sum of truth and right will have been increased by their means; to all eternity, falsehoods and injustice will be the weaker because they have lived.”
—Thomas Henry Huxley (1825–95)
“Looking foolish does the spirit good. The need not to look foolish is one of youth’s many burdens; as we get older we are exempted from more and more, and float upward in our heedlessness, singing Gratia Dei sum quod sum.”
—John Updike (b. 1932)