Clearly a line of length \(n\) units takes the same time to articulate regardless of how it is composed. A line of length \(n\) contains \(n\) units where each short syllable is one unit and each long syllable is two units. Suppose also that each long syllable takes twice as long to articulate as a short syllable. 'Define' a sequence is the act of establish a law whos govern a sequence. Suppose we assume that lines are composed of syllables which are either short or long. In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. For such sequences, the methods we used in Chapter 1 won’t work. The order of the terms in the sequence matters-if. In particular, about fifty years before Fibonacci introduced his sequence, Acharya Hemachandra (1089 – 1173) considered the following problem, which is from the biography of Hemachandra in the MacTutor History of Mathematics Archive: But many important sequences are not monotonenumerical methods, for in-stance, often lead to sequences which approach the desired answer alternately from above and below. In mathematics, a sequence is a list of things, typically numbers, which are called the terms of the sequence. ![]() Historically, it is interesting to note that Indian mathematicians were studying these types of numerical sequences well before Fibonacci.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |