Practice Compact Recurrence Condition (16.1.2) - Valid Sequences Analysis

Practice: Compact Recurrence Condition

Lesson 16.1.2Valid Sequences Analysis

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8 questions

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6 sample questions

Question 1.
What is a strictly increasing sequence?
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Think of the order of numbers.
Question 2.
Write down the first two terms for S(n) when n = 1 and n = 2.
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Think about what sequences you can form.
3Question 3.
What defines a strictly increasing sequence?
- All terms are equal
- Each term is less than the previous
- Each term is greater than the previous
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Visualize the order of numbers.
4Question 4.
True or False: Initial conditions are unnecessary for solving recurrence relations.
- True
- False
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Think about where you’d start in a sequence.
Question 5.
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?
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Use your relationship derived from earlier S values.
Question 6.
Propose a different compact recurrence relationship if you allowed sequences to include numbers in non-strict order (where values can repeat).
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Think of combinations of terms rather than strict orders.

4 more questions in this section. Enroll free to practise them all.