An Introduction To Sequences In Mathematics English Language Essay

An Introduction To Sequences In Mathematics English Language Essay This is an introduction to sequences. In mathematics, that is, discrete mathematics have learned about sequences, which is an ordered list of elements. The sequences is about arrangement of objects, people, tasks, grocery items, books, movies, or numbers, which has an ‘order’ associated with it. Like a set, it contains members and the number of terms. This members is called elements or terms and the number of terms is also called the length of the sequences. Sequences having a natural numbers. There are all even numbers and odd numbers. This usually defined according to the formula: Sn = a, function of n = 1,2,3,†¦a set A= {1,2,3,4} is a sequence. B = {1,1,2,2,3,3,} is though the numbers of repeating. There are specific sequences that have their own formulas and methods for finding the value of terms, such as arithmetic and geometric sequences. List of numbers, finite and infinite, that follow some rules are called sequences.P,Q,R,S is a sequences letters that diff er from R,Q,P,S, as the ordering matters. Sequences can be finite or infinite. For this example is finite sequence. For example of infinite is such as the sequence of all odd positive integers (1,3,5,†¦.). Finite sequences are sometimes known as strings or words, and infinite sequences as streams. The empty sequence ( ) is included in most notions of sequence, but may be excluded depending on the context. In this topic means sequences, there are covered about indexing, operation on sequences, sequences of integers, subsequences, increasing, decreasing, nonincreasing, nondecreasing, sigma notation, and pi notation. Besides that, in this topic also discuss about changing the index and limit in sum. Background A sequences was created by Leonardo Pisano Bigollo (1180-1250). Pisano means â€Å"from Pisa† and Fibonacci which means son of Bonacci. He known as by his nickname, Fibonacci. He was born in Pisa which is now part in Italy, the city with the famous Leaning Tower. He p layed important role in reviving ancient methematical skills, as well as making significant contributions of his own. He was known for a great interset in math. Because of the Fibonacci Series, He is most known. A series of numbers approaching nature reality. For example, 1, 1, 2, 2, 3, 5, 233, 300, 377, †¦The sum of the 2 preceding numbers are from each succeding number. Fibonacci was a member of the Bonacci family and traveled all around the Mediterranean as a boy. He traveled with his father who held a diplomatic post. To excel in solving a wide variety of mathematical problems, His keen interest in mathematics and his exposure to other cultures allowed Fibonacci. Fibonacci is probably best known for discovering the Fibonacci sequence. Besides that, A sequences is also was created by Leonardo Fibonacci. He is the Italian mathematician. He also known as Leonardo of Pisa, documented the mathematical sequences often found in nature in 1202 in his book, â€Å"Liber Abaci† which means â€Å"book of the abacus†In the sequences, each number is sum of two numbers, such as 1 + 1 = 2, 1 + 2 = 3, 2 + 2 = 4, and so on. That sequence can be found in the spirals on the skin of a pineapple, sunflowers, seashells, the DNA double helix and, yes, pine cones.