Task 3: What are the consequences •constrained (up, down, up and down), • (strictly) monotonically increasing or decreasing. •convergent? while mean 13 cata - Catalan sequence, • fibo - Fibonacci sequence, • jaco - Jacobsthal sequence, • luca - Lucas sequence. Deduce your results in detail. In particular, justify why your calculations are correct (e.g. cite sentences and definitions from the lecture). Results alone are not enough.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Task 3:
What are the consequences
• constrained (up, down, up and down),
• (strictly) monotonically increasing or decreasing.
•convergent?
→wy 13
R
while mean
•cata - Catalan sequence,
• fibo - Fibonacci sequence,
• jaco - Jacobsthal sequence,
• luca - Lucas sequence.
Deduce your results in detail. In particular, justify why your calculations are correct (e.g. cite sentences and definitions from the
lecture). Results alone are not enough.
Transcribed Image Text:Task 3: What are the consequences • constrained (up, down, up and down), • (strictly) monotonically increasing or decreasing. •convergent? →wy 13 R while mean •cata - Catalan sequence, • fibo - Fibonacci sequence, • jaco - Jacobsthal sequence, • luca - Lucas sequence. Deduce your results in detail. In particular, justify why your calculations are correct (e.g. cite sentences and definitions from the lecture). Results alone are not enough.
Aufgabe 7:
Betrachten Sie die folgende Rekursion
b=9b-2+(-10) br-1
1. klassifizieren Sie die Rekursion;
2. und lösen Sie die Rekursion mit den Anfangswerten bo-3, b₁ = 5.
3. Verifizieren Sie die Richtigkeit Ihrer Lösung mit einer Probe an mindestens den ersten fünf Rekursions-
gliedern.
Lösen Sie die Aufgabe nachvollziehbar. Begründen Sie inbesondere, warum Ihre Rechnungen richtig sind
(zitieren Sie beispielsweise Sätze und Definitionen aus der Vorlesung). Ergebnisse alleine reichen nicht aus.
Transcribed Image Text:Aufgabe 7: Betrachten Sie die folgende Rekursion b=9b-2+(-10) br-1 1. klassifizieren Sie die Rekursion; 2. und lösen Sie die Rekursion mit den Anfangswerten bo-3, b₁ = 5. 3. Verifizieren Sie die Richtigkeit Ihrer Lösung mit einer Probe an mindestens den ersten fünf Rekursions- gliedern. Lösen Sie die Aufgabe nachvollziehbar. Begründen Sie inbesondere, warum Ihre Rechnungen richtig sind (zitieren Sie beispielsweise Sätze und Definitionen aus der Vorlesung). Ergebnisse alleine reichen nicht aus.
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