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Sequences
Sequences

Fractals - Torpoint
Fractals - Torpoint

Sequences Day 1 Sequences
Sequences Day 1 Sequences

Detailed Lesson Plans
Detailed Lesson Plans

sequence
sequence

Full text
Full text

Stairway to Infinity! Proof by Mathematical Induction
Stairway to Infinity! Proof by Mathematical Induction

A NOTE ON THE SMARANDACHE PRIME PRODUCT
A NOTE ON THE SMARANDACHE PRIME PRODUCT

a 1 - Bowie High School
a 1 - Bowie High School

GENERATION OF A SERVICE LOADING WITH THE DESIRED
GENERATION OF A SERVICE LOADING WITH THE DESIRED

Fibonacci
Fibonacci

... in terms of α itself. Then do the same for β. 20. What proportion of the Fibonacci numbers are even? What fraction of them are multiples of 3? multiples of 4? 5? Is there a pattern to these answers? I read this problem at Jim Tanton’s webpage. 21. The first four terms of a sequence are 2, 6, 12, 72. ...
Find a Term in an Arithmetic Sequence
Find a Term in an Arithmetic Sequence

On certain positive integer sequences (**)
On certain positive integer sequences (**)

... ones in their binary expansion. D e f i n i t i o n 1. Let k F 2 , l F 1 , m F 2 be positive integers. We say that a positive integer n is a (k , l , m)-number if the sum of digits of n m in its expansion in base k is l times the sum of the digits of the expansion in base k of n . The above sequence ...
"The Asymptotic Equipartition Property". In: Elements of Information
"The Asymptotic Equipartition Property". In: Elements of Information

... short descriptions for such sequences of random variables. We divide all sequences in 2” into two sets: the typical set A:’ and its complement, as shown in Figure 3.1. We order all elements in each set according to some order (say lexicographic order). Then we can represent each sequence of A:’ by g ...
Problems set 1
Problems set 1

PPT
PPT

... a procedure that calls itself • This is often convenient but we must make sure that the recursion eventually terminates – Have a base case (here r=l) – Reduce some parameter in each call (here r-l) ...
[Part 1]
[Part 1]

sequence
sequence

... You can also write an algebraic expression to represent the relationship between any term in a sequence an its position in the sequence. ...
Exploring Fibonacci Numbers using a spreadsheet
Exploring Fibonacci Numbers using a spreadsheet

... (which is approximately equal to 1.618 up to three decimal places). ...
Arithmetic Sequences
Arithmetic Sequences

CSNB143 – Discrete Structure
CSNB143 – Discrete Structure

Full text
Full text

Notes Section 1.1 MH 11 Arithmetic Sequences - Sewell
Notes Section 1.1 MH 11 Arithmetic Sequences - Sewell

12-3
12-3

Sequences The following figures are created with squares of side
Sequences The following figures are created with squares of side

< 1 ... 14 15 16 17 18 19 20 21 22 ... 46 >

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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