Sequences

Beschreibung

Year 13 Mathematics Karteikarten am Sequences, erstellt von Dominique TREMULOT am 25/08/2023.
Dominique TREMULOT
Karteikarten von Dominique TREMULOT, aktualisiert vor 10 Monate
Dominique TREMULOT
Erstellt von Dominique TREMULOT vor 10 Monate
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Zusammenfassung der Ressource

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The series /ˈsɪəriːz/ converges /kənˈvɜːdʒ/ La série converge
The series diverges /daɪˈvɜːdʒ/ La série diverge
A sequence is increasing- decreasing- not monotonic /mon′ə ton′ik/ or constant /ˈkɒnstənt/ Une suite est strictement croissante- strictement décroissante- non monotone ou constante
Monotony /məˈnɒtəni/ Monotonie
A recurrence /rɪˈkʌrəns/ relation (or equation) An equation that recursively defines a sequence or multidimensional array of values- once one or more initial terms are giveneach further term of the sequence or array is defined as a function of the preceding terms
\(u_0\) \(u\) nought
A mathematical induction (raisonnement par récurrence) 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 \(n\)
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