12.5: use recursive rules with sequences and functions hw: p.830-831 (4, 10, 14, 18, 20, 34)
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ALGEBRA IICHAPTER 12
12.5: Use Recursive Rules with Sequences and Functions
HW: p.830-831 (4, 10, 14, 18, 20, 34)
EXPLICIT VS. RECURSIVE RULE Explicit rule gives an as a function of
the term’s position number n in the sequence.
Recursive rule gives the beginning term or terms of a sequence and then a recursive equation that tells how an is related to one or more preceding terms.
RECURSIVE EQUATIONS Arithmetic Sequence: an = an-1 + d
where d is the common difference.
Geometric Sequence: an = r an-1 where r is the common ratio.
WRITE THE FIRST SIX TERMS OF THE SEQUENCE.1.) a0 = 1, an = an-1 + 4
2.) a1 = 1, an = 3an-1
WRITE A RECURSIVE RULE FOR THE SEQUENCE.
1.) 3, 13, 23, 33, 43, …
2.) 16, 40, 100, 250, 625, …
3.) 1, 1, 2, 3, 5, …
EXTRA PRACTICE: WRITE A RECURSIVE RULE FOR THE SEQUENCE.
1.) 450, -150, 50, -50/3, …
2.) 11, 8, 5, 2, …
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