[PDF] Séquence 01

Infinite Or Finite

When the sequence goes on forever it is called an infinite sequence, otherwise it is a finite sequence

in Order

When we say the terms are "in order", we are free to define what order that is! They could go forwards, backwards ... or they could alternate ... or any type of order we want!

Like A Set

A Sequence is like a Set, except: 1. the terms are in order(with Sets the order does not matter) 2. the same value can appear many times (only once in Sets)

as A Formula

Saying "starts at 3 and jumps 2 every time" is fine, but it doesn't help us calculate the: 1. 10thterm, 2. 100thterm, or 3. nth term, where ncould be any term number we want.

Many Rules

But mathematics is so powerful we can find more than one Rulethat works for any sequence. So it is best to say "A Rule" rather than "The Rule" (unless we know it is the right Rule).

Notation

To make it easier to use rules, we often use this special style: So a rule for {3, 5, 7, 9, ...}can be written as an equation like this: xn= 2n+1 And to calculate the 10th term we can write: x10 = 2n+1 = 2×10+1 = 21 Can you calculate x50(the 50th term) doing this? Here is another example:

Arithmetic Sequences

In an Arithmetic Sequence the difference between one term and the next is a constant. In other words, we just add some value each time ... on to infinity. In Generalwe can write an arithmetic sequence like this: {a, a+d, a+2d, a+3d, ... } where: 1. ais the first term, and 2. d is the difference between the terms (called the "common difference") And...

Geometric Sequences

In a Geometric Sequence each term is found by multiplying the previous term by a constant. In Generalwe can write a geometric sequence like this: {a, ar, ar2, ar3, ... } where: 1. ais the first term, and 2. r is the factor between the terms (called the "common ratio") And the rule is: xn = ar(n-1) (We use "n-1" because ar0is the 1st term)

Triangular Numbers

The Triangular Number Sequenceis generated from a pattern of dots which form a triangle: By adding another row of dots and counting all the dots we can find the next number of the sequence.

View PDF Document




une mémoire visuelle

Développer sa mémoire techniques de mémorisation - Séquence 1/4 http://eduscol.education.fr/ressources-accompagnement-personnalise/. Développer sa mémoire



Report of the Ad Hoc Technical Expert Group on Digital Sequence

20 mars 2020 CBD/DSI/AHTEG/2020/1/7. 20 March 2020. ENGLISH ONLY. AD HOC TECHNICAL EXPERT GROUP ON. DIGITAL SEQUENCE INFORMATION ON. GENETIC RESOURCES.



SÉQUENCE 1 : MANIPULER DES SYLLABES SÉANCES DE LA

Cette séquence est conçue pour être menée concomitamment avec la séquence 1. « discriminer les phonèmes ». Pour toutes les séances une organisation de la 



SEQUENCE 1 : Faire la lecture analytique dun message

SEQUENCE 1 : Faire la lecture analytique d'un message. Marie LECOMTE – 11/2004 – Edition n° 1.01. 1. PREAMBULE. Que le message soit oral ou écrit 



Document Compagnon1 Séquence 1 Ladressage

20 oct. 2015 Séquence 1. L'adressage. Par. - Jacques Landru ... MOOC IPv6 Séquence 1 : L'adressage correspondance avec les adresses de multicast de ...



étude préliminaire du besoin _ séquence 01

Projet 01. Etude préliminaire du besoin. Maison AA. STI2D AC. Projet 1 : Etude préliminaire du besoin. _– Page 1. Activité : Complément au programme.



Séquence réalisée par Marie Masson et Marine Audoin (Collège

1. un dialogue entre la rose et un personnage moins accommodant que le petit prince. 2. un dialogue entre le petit prince et un adulte "bien bizarre" avec 



1 - Interprétation du signal et du contraste en IRM

Les entités donnant un signal élevé sur les séquences pon- dérées en T1 sont nombreuses (1). Nous ne re v e r rons ici que les principaux mécanismes qui sont la 



Partie 1 - Séquence 1 Transformée de Laplace dune fonction causale

La fonction causale la plus utilisée est la fonction échelon-unité ou fonction de Heaviside notée U définie par : Partie 1 - Séquence 1 Transformée de 



Combined study on digital sequence information in public and

31 janv. 2020 We analysed more than 1600 biological databases listed in the annual Nucleic Acids. Research's database issue (Figure 1