Practice Categories Of Sequences (16.1.3) - Valid Sequences Analysis - Discrete Mathematics - Vol 2
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Categories of Sequences

Practice - Categories of Sequences

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What defines a strictly increasing sequence?

💡 Hint: Think about a sequence of numbers.

Question 2 Easy

Provide an example of a recurrence relation.

💡 Hint: Consider sequences that build on previous terms.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the recurrence relation for strictly increasing sequences?

a(n) = a(n-1) + a(n-2)
a(n) = a(n-1) + a(n-2) + a(n-3)
a(n) = 2 * a(n-1)

💡 Hint: Think about how sequences can build upon each other.

Question 2

True or False: The initial condition a(1) must be 1.

True
False

💡 Hint: Recall the basics of sequence counting.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using the given recurrence, find a(n) for n = 6 if a(1) = 1 and a(2) = 1.

💡 Hint: Refer back to earlier initial conditions.

Challenge 2 Hard

Prove that a(n) is greater than 0 for n >= 1.

💡 Hint: Induction can help here.

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