Mastering Recursive Rules for Sequences in Mathematics
Discover how to define sequences recursively, write recursive rules for given sequences, and translate from recursive rules to explicit rules in this comprehensive guide. Dive into the world of sequences and enhance your mathematical skills.
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Presentation Transcript
Using Recursive Rules with Using Recursive Rules with Sequences Sequences Section 8.5
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How can you define a sequence recursively? How can you define a sequence recursively? A recursive rule gives the beginning term(s) of a sequence and a recursive equation that tells how an is related to one or more preceding terms.
Writing Recursive Rules Write a recursive rule for (a) 3, 13, 23, 33, 43, . . .
Writing Recursive Rules Write a recursive rule for (b) 16, 40, 100, 250, 625, . . ..
Translating from Recursive Rules to Explicit Rules Write an explicit rule for each sequence
