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13 SEQUENCES AND SERIES
13 SEQUENCES AND SERIES

Exploring Fibonacci Numbers
Exploring Fibonacci Numbers

... sequence of numbers defined similarly, called the Lucas Numbers, Ln about which we can compose similar problems. First L1 = 1 and L2 = 3. Also, Ln = Ln−1 + Ln−2 for all n ≥ 3. 1. A monomino is a unit square (¥), and a domino (¥¥) is a pair of monominoes glued together along a common edge. How many w ...
SUCCESSIVE DIFFERENCES We all know about the numbers. But
SUCCESSIVE DIFFERENCES We all know about the numbers. But

Split Graph And degree sequences
Split Graph And degree sequences

... A sequence of integers d1,...,dn is said to be a degree sequence (or graphic sequence) if there exists a graph in which vertex i is of degree di It is often required to be nonincreasing, i.e. that d1≥...≥dn. ...
final project 1
final project 1

Sequences and Series
Sequences and Series

Making Conjectures - nimitz9livingston
Making Conjectures - nimitz9livingston

There are no Coincidences
There are no Coincidences

Arithmetic-and-Geometric
Arithmetic-and-Geometric

吴 鹏老师
吴 鹏老师

1 nCk sequences and their difference sequences
1 nCk sequences and their difference sequences

Reasoning with Roman Numerals and Number Problems answers
Reasoning with Roman Numerals and Number Problems answers

... ← One step size incorrect (96 to 98) ← One step size incorrect (75 to 80) ← Multiple greater than 100 but not calculated ...
Applications of the Complex Roots of Unity - Rose
Applications of the Complex Roots of Unity - Rose

What is a sequence
What is a sequence

a n = n - El Camino College
a n = n - El Camino College

... using summation notation, or sigma notation. • This notation derives its name from the Greek letter Σ (capital sigma, corresponding to our S for “sum”). ...
Chapter 5 Review - Westerville City Schools
Chapter 5 Review - Westerville City Schools

... The common difference is m = 6 , and the zeroth term is b = 15 . The equation can be written t(n) = mn + b = 6n + 15. Note that for a sequence, t(n) = is used instead of y = . t(n) = indicates the equation is for a discrete sequence, as opposed to a continuous function. Students compared sequences t ...
GRADE 7 MATHEMATICS PARENT GUIDE Six Weeks 4
GRADE 7 MATHEMATICS PARENT GUIDE Six Weeks 4

Arithmetic Series - Uplift Education
Arithmetic Series - Uplift Education

On Linear Recursive Sequences with Coefficients in Arithmetic
On Linear Recursive Sequences with Coefficients in Arithmetic

Sequence and Series
Sequence and Series

Limits of sequences
Limits of sequences

Limits of sequences
Limits of sequences

... Our first two examples of sequences have obvious rules for obtaining each term. In the first example, we obtain the n-th term by taking n, multiplying by 2, and taking away 1. We say that the n-th term is 2n − 1. Similarly, the n-th term of the second sequence is (n + 1)2 . Our third example, the in ...
lesson 2.2 - James Rahn
lesson 2.2 - James Rahn

... If you knew a rule for calculating any term in a sequence, without having to know the previous term, you could apply it to directly to calculate the any term. The rule that gives the nth term is call the function rule. ...
UNIVERSITY OF CALICUT SCHOOL OF DISTANCE EDUCATION CORE COURSE B.Sc. MATHEMATICS
UNIVERSITY OF CALICUT SCHOOL OF DISTANCE EDUCATION CORE COURSE B.Sc. MATHEMATICS

Regular and Semiregular Polyhedra
Regular and Semiregular Polyhedra

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Sequence



In mathematics, a sequence is an ordered collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Formally, a sequence can be defined as a function whose domain is a countable totally ordered set, such as the natural numbers.For example, (M, A, R, Y) is a sequence of letters with the letter 'M' first and 'Y' last. This sequence differs from (A, R, M, Y). Also, the sequence (1, 1, 2, 3, 5, 8), which contains the number 1 at two different positions, is a valid sequence. Sequences can be finite, as in these examples, or infinite, such as the sequence of all even positive integers (2, 4, 6,...). In computing and computer science, finite sequences are sometimes called strings, words or lists, the different names commonly corresponding to different ways to represent them into computer memory; infinite sequences are also called streams. The empty sequence ( ) is included in most notions of sequence, but may be excluded depending on the context.
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