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Monotonic Sequence - Bounded Sequence Video Lecture | General Aptitude for GATE - Mechanical Engineering

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FAQs on Monotonic Sequence - Bounded Sequence Video Lecture - General Aptitude for GATE - Mechanical Engineering

1. What is a monotonic sequence?
Ans. A monotonic sequence is a sequence of numbers that either consistently increases or consistently decreases as the sequence progresses.
2. Can a monotonic sequence be bounded?
Ans. Yes, a monotonic sequence can be bounded. For example, a sequence that is strictly increasing but bounded above or strictly decreasing but bounded below would be considered a bounded monotonic sequence.
3. How can you determine if a sequence is monotonic?
Ans. To determine if a sequence is monotonic, you can check if each term is either greater than or equal to the previous term (for a non-decreasing sequence) or less than or equal to the previous term (for a non-increasing sequence).
4. What are the characteristics of a bounded sequence?
Ans. A bounded sequence is a sequence in which all the terms are within a certain range, either above and below a specific value (bounded) or only above or below a certain value (bounded above or bounded below).
5. Why are monotonic sequences and bounded sequences important in mathematics?
Ans. Monotonic sequences and bounded sequences are important in mathematics because they help in analyzing the behavior and limits of sequences. They also play a crucial role in various mathematical proofs and applications, especially in the study of limits and convergence.
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