Practice - Compact Recurrence Condition
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Practice Questions
Test your understanding with targeted questions
What is a strictly increasing sequence?
💡 Hint: Think of the order of numbers.
Write down the first two terms for S(n) when n = 1 and n = 2.
💡 Hint: Think about what sequences you can form.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a strictly increasing sequence?
💡 Hint: Visualize the order of numbers.
True or False: Initial conditions are unnecessary for solving recurrence relations.
💡 Hint: Think about where you’d start in a sequence.
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Challenge Problems
Push your limits with advanced challenges
Create a sequence starting with 1 and following stringent increasing order rules for n = 5, representing the sequences valid within those terms. How many such sequences can you generate?
💡 Hint: Use your relationship derived from earlier S values.
Propose a different compact recurrence relationship if you allowed sequences to include numbers in non-strict order (where values can repeat).
💡 Hint: Think of combinations of terms rather than strict orders.
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Reference links
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