Practice - Categories of Strings
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Practice Questions
Test your understanding with targeted questions
Define a strictly increasing sequence.
💡 Hint: Think about the differences in numbers in a sequence.
What does a recurrence relation do?
💡 Hint: Consider how one term can influence the next.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What denotes a strictly increasing sequence?
💡 Hint: Visualize the terms on a number line.
Is the recurrence relation for F(n) dependent on only the last term?
💡 Hint: Remember how these sequences are constructed.
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Challenge Problems
Push your limits with advanced challenges
Prove that for n greater than 2, F(n) can be expressed as a function of F(n-1) and F(n-2).
💡 Hint: Start with smaller values to recognize the pattern.
Determine the total number of strictly increasing sequences for n=5 using the recurrence relation.
💡 Hint: Use previously known values to build up to F(5).
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Reference links
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