# A chain of numbers (or other objects) ---- ## A sequence /ˈsiːkwəns/ --- # The individual elements in a sequence /ˈsiːkwəns/ ---- ## The terms --- # Les deux termes suivants ---- ## The next two terms --- # A letter, number or symbol that is written or printed below the normal line of writing or printing ---- ## A subscript /ˈsʌbskrɪpt/ --- # La série converge ---- ## The series /ˈsɪəriːz/ converges /kənˈvɜːdʒ/ --- # La série diverge ---- ## The series diverges /daɪˈvɜːdʒ/ --- # Une suite est strictement croissante, strictement décroissante, non monotone ou constante ---- ## A sequence is increasing, decreasing, not monotonic /mon′ə ton′ik/ or constant /ˈkɒnstənt/ --- # Monotonie ---- ## Monotony /məˈnɒtəni/ --- # An equation that recursively defines a sequence: one or more initial terms are given and each further term of the sequence is defined as a function of the preceding terms ---- ## A recurrence /rɪˈkʌrəns/ relation (or equation) --- # $u_0$ ---- ## $u$ nought --- # Un raisonnement par récurrence contient trois étapes : L'initialisation, l'hérédité, la conclusion ---- ## A mathematical induction contains three steps: The initial step: The proof for $n=1$ , The inductive step: The proof of recurring pattern/The proof of the induction hypothesis , The conclusion --- # $a_n$ ---- ## $a$ sub $n$ --- # A curve or pattern that includes a smaller curve or pattern that has exactly the same shape ---- ## A fractal /ˈfræktl/ --- # Une suite du type $u_n=an^2+bn+c$ ---- ## A quadratic /kwɒˈdrætɪk/ sequence /ˈsiːkwəns/ --- # Une suite arithmétique ---- ## An arithmetic /əˈrɪθmətɪk/ sequence /ˈsiːkwəns/ --- # Une suite géométrique ---- ## A geometric sequence /ˈsiːkwəns/ --- # $\displaystyle \lim_{n\to +\infty}u_n$ ---- ## The limit of $u_n$ as $n$ approaches infinity --- # Déterminer une expression du $n$ème terme de la suite ---- ## Work out an expression for the $n$-th term of the sequence <style> .slides {background-image:url("https://raw.githubusercontent.com/tremulotmaths/latex/master/von_koch_transparent.png");} .slides h1 {padding:2em; font-family:Arial; background-color:#133E29; opacity: 0.9;color:white; font-size:1em!important;} .slides h2 {background:#131750 ; opacity: 0.9;padding : 2em 0.2em; color:white; font-size:1em!important;} .slides h4 {margin-bottom:1.5em} </style>
{"type":"slide","title":"Vocabulary - Sequences","tags":"European section, Mathematics, English, Sequences","slideOptions":{"theme":"white","height":700,"width":700,"transition":"convex","shuffle":true,"description":"Deck of flashcards on \"Sequences\""}}