Series
The sum of terms of a sequence is a series. More precisely, if (x1, x2, x3, ...) is a sequence, one may consider the sequence of partial sums (S1, S2, S3, ...), with
Formally, this pair of sequences comprises the series with the terms x1, x2, x3, ..., which is denoted as
If the sequence of partial sums is convergent, one also uses the infinite sum notation for its limit. For more details, see series.
Read more about this topic: Sequence
Famous quotes containing the word series:
“Personality is an unbroken series of successful gestures.”
—F. Scott Fitzgerald (1896–1940)
“Every man sees in his relatives, and especially in his cousins, a series of grotesque caricatures of himself.”
—H.L. (Henry Lewis)
“I look on trade and every mechanical craft as education also. But let me discriminate what is precious herein. There is in each of these works an act of invention, an intellectual step, or short series of steps taken; that act or step is the spiritual act; all the rest is mere repetition of the same a thousand times.”
—Ralph Waldo Emerson (1803–1882)