8.1 Sequences and recursive rules
Unit 8 · Sequences and series
Ideas in this lesson
Evaluate an explicit rule
Substitute the requested positive integer index into the sequence rule.
Use a recursive rule
Start with the stated first term and apply the recurrence once per step.
Recognize sequence patterns
Check consecutive differences or ratios before selecting an arithmetic or geometric model.
Connect recursion and explicit form
An arithmetic recurrence adds a fixed difference; the explicit rule adds that difference one fewer time than the index.
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