18 juil 2005 · write an explicit sum in sigma notation where there is an obvious pattern to the individual terms; • use rules to manipulate sums expressed in
Previous PDF | Next PDF |
[PDF] Le symbole de sommation ∑ ∑ ∑
La notation ∑ (lettre grecque « sigma majuscule ») a été introduite par le mathématicien Leonard Euler pour symboliser une addition de termes consécutifs 1
[PDF] Les symboles \Sigma et \Pi Le binôme de Newton - Maths-francefr
Sn = 1 + 3 + 5 + + (2n − 1) Cette notation cohérente se révèle à l'usage pleine de pièges En effet, que signifie l'écriture 1+3+5+ +(2n−1) quand n vaut 1, 2,
[PDF] LISTES DES SYMBOLES MATHÉMATIQUES Alphabetgrec
sigma σ ou ς Σ tau τ T upsilon υ Υ phi φ ou ϕ Φ chi χ X psi ψ Ψ omega ω Ω ∈ appartient `a Σ somme /∈ n'appartient pas `a n produit ⊂ est inclus dans ∀
[PDF] Utilisation du symbole ∑ - page pour se connecter
symbole sigma Utilisation du symbole ∑ Notation : Pour parler de la somme des termes successifs d'une suite, on peut ou bien utiliser les pointillés ou
[PDF] Les symboles somme et produit - Lycée dAdultes
27 fév 2017 · Remarque : • La variable k est une variable muette, c'est à dire qu'une fois la somme calculée, le résultat ne dépend plus de k On peut donc lui
[PDF] Liste des symboles mathématiques usuels (LATEX) - IREM TICE
σ \sigma ω \omega ζ \zeta ν \nu ς \varsigma η \eta ξ \xi τ \tau Γ \Gamma Λ \ Lambda Σ \Sigma Ψ \Psi ∆ \Delta Ξ \Xi Υ \Upsilon Ω \Omega Θ \Theta Π \Pi
[PDF] suite et sigma corrigepdf
Suites et sigma Soit la suite u définie pour tout entier naturel non nul par = = n 1k n )1k(k n 1 u Partie A 1) Sur feuille : écrire les trois premiers termes de la
[PDF] Comment écrire des formules avec OpenOfficeorg Math
6 nov 2006 · Contrairement aux autres modules d'OpenOffice org, Math n'est pas entièrement WYSIWYG1 d'un opérateur (comme sigma majuscule)
[PDF] Sigma notation - Mathcentre
18 juil 2005 · write an explicit sum in sigma notation where there is an obvious pattern to the individual terms; • use rules to manipulate sums expressed in
[PDF] permittivité du vide valeur
[PDF] h physique
[PDF] valeur de k coulomb
[PDF] epsilon 0 valeur
[PDF] les constants biologique
[PDF] c chimie
[PDF] formule tableau de bord bts muc
[PDF] cours mguc bts muc
[PDF] gestion clientèle bts nrc
[PDF] formule mgac bts nrc
[PDF] bts muc mguc calculatrice
[PDF] exercice calcul commerciaux bts nrc
[PDF] cours gestion bts muc
[PDF] exercice calcul commerciaux avec corrigé
![[PDF] Sigma notation - Mathcentre [PDF] Sigma notation - Mathcentre](https://pdfprof.com/Listes/17/25036-17sigma.pdf.pdf.jpg)
Sigma notationSigma notation is a method used to write out a long sum in a concise way. In this unit we look
at ways of using sigma notation, and establish some useful rules. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature. After reading this text, and/or viewing the video tutorial on this topic, you should be able to: expand a sum given in sigma notation into an explicit sum; write an explicit sum in sigma notation where there is an obvious pattern to the individual terms; use rules to manipulate sums expressed in sigma notation.Contents
1.Introduction2
2.Some examples3
3.Writing a long sum in sigma notation 5
4.Rules for use with sigma notation 6
1 c?mathcentre July 18, 20051. IntroductionSigma notation is a concise and convenient way to represent long sums. For example, we often
wish to sum a number of terms such as1 + 2 + 3 + 4 + 5
or1 + 4 + 9 + 16 + 25 + 36
where there is an obvious pattern to the numbers involved. The first of these is the sum of the first five whole numbers, and the second is the sum of the first six square numbers. More generally, if we take a sequence of numbersu1,u2,u3,...,unthen we can write the sum of these numbers as u1+u2+u3+...+un.
A shorter way of writing this is to leturrepresent the general term of the sequence and put n r=1u r. Here, the symbol Σ is the Greek capital letterSigmacorresponding to our letter 'S", and refers to the initial letter of the word 'Sum". So this expression means the sum of all the termsur wherertakes the values from 1 ton. We can also write b r=au r to mean the sum of all the termsurwherertakes the values fromatob. In such a sum,ais called the lower limit andbthe upper limit.Key Point
The sumu1+u2+u3+...+unis written in sigma notation as n r=1u r. c?mathcentre July 18, 20052Exercises1. Write out what is meant by
(a) 5? n=1n3(b)5?
n=13 n(c)4? r=1(-1)rr2(d)4? k=1(-1)k+1 2k+ 1 (e) N? i=1x 2 i(f)N? i=1f ixi2. Evaluate
4? k=1k 2.2. Some examples
Example
Evaluate
4? r=1r 3.Solution
This is the sum of all ther3terms fromr= 1 tor= 4. So we take each value ofr, work outr3 in each case, and add the results. Therefore 4 r=1r3= 13+ 23+ 33+ 43
= 1 + 8 + 27 + 64 = 100.Example
Evaluate
5? n=2n 2.Solution
In this example we have used the letternto represent the variable in the sum, rather thanr. Any letter can be used, and we find the answer in the same way as before: 5 n=2n2= 22+ 32+ 42+ 52
= 4 + 9 + 16 + 25 = 54.Example
Evaluate
5? k=02 k. 3 c?mathcentre July 18, 2005SolutionNotice that, in this example, there are 6 terms in the sum, because we havek= 0 for the first
term: 5 k=02 k= 20+ 21+ 22+ 23+ 24+ 25 = 1 + 2 + 4 + 8 + 16 + 32 = 63.