12 Questions
How would you define a non-decreasing sequence?
A non-decreasing sequence is a sequence where each term is greater than or equal to the preceding term.
What is a monotonic sequence?
A monotonic sequence is a sequence that is consistently non-decreasing or non-increasing.
Explain a non-increasing sequence.
A non-increasing sequence is a sequence where each term is less than or equal to the preceding term.
What is the characteristic of a strictly increasing sequence?
A strictly increasing sequence has each term greater than the preceding term.
Define a strictly decreasing sequence.
A strictly decreasing sequence has each term less than the preceding term.
Can a strictly increasing sequence have equal terms?
No, a strictly increasing sequence cannot have equal terms.
Can a non-decreasing sequence have terms that are equal?
Yes, a non-decreasing sequence can have equal terms.
Explain a bounded sequence.
A bounded sequence is a sequence that has an upper and lower bound.
What is an unbounded sequence?
An unbounded sequence is a sequence that does not have an upper or lower bound.
Describe a convergent sequence.
A convergent sequence is a sequence that approaches a specific limit as the number of terms increases.
Explain a divergent sequence.
A divergent sequence is a sequence that does not approach a specific limit as the number of terms increases.
What is the characteristic of a constant sequence?
A constant sequence is a sequence in which every term is the same.
Study Notes
Monotonic sequence
Monotonic sequences are a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence of a sequence 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Test your knowledge about monotonic sequences with this quiz. Determine if a sequence is monotonic, increasing, or decreasing.
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