Practice - Recurrence Condition - 16.6.1
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Practice Questions
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What is a recurrence relation?
💡 Hint: Think about how sequences can be defined based on previous terms.
Provide an example of a strictly increasing sequence.
💡 Hint: Consider a sequence of numbers that continuously get larger.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a strictly increasing sequence?
💡 Hint: Think about how the numbers in the sequence relate to one another.
True or False: Initial conditions are not needed to calculate recurrence relations.
💡 Hint: Consider where you would begin calculations.
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Challenge Problems
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If you have a sequence of strictly increasing integers from 1 to n, how many valid sequences can you construct where the second last number can't exceed n-1?
💡 Hint: Think about how many terms are available and apply your understanding of the sequence definitions.
Using your knowledge of the relationship between f(n) for combinations with initial conditions, calculate values for n up to 5.
💡 Hint: Remember to build upon each previous result step-by-step.
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