Sequences

Description

Year 13 Mathematics Flashcards on Sequences, created by Dominique TREMULOT on 25/08/2023.
Dominique TREMULOT
Flashcards by Dominique TREMULOT, updated more than 1 year ago
Dominique TREMULOT
Created by Dominique TREMULOT about 1 year ago
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Resource summary

Question Answer
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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