Lesson 4.3: Using Recursive Formulas

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Lesson 4.3: Using Recursive Formulas Advanced Math Topics

Definition of Recursive Formula The formula for a sequence that tells you how to find the nth term from the term(s) before it.

Example/Steps Part 1: the value of the 1st term(s) are given Part 2: A recursion equation shows how to find each term from the term before it. an=2an-1 Part 3: Plug numbers into the formula to find the next terms in the sequence. a2=2a2-1=2a1=2(1)=2 a3=2a3-1=2a2=2(2)=4 a4=2a4-1=2a3=2(4)=8

Examples a1=12 an=3(an-1) n

Examples a1=3 a2=2 an=an-1-2an-2

Examples a1=1 a2=2 an=(an-2)2-(an-1)2

Examples a1=10 an= 1 an-1

Word Problem Start January by plugging in 0 for an-1 and then fill in chart

Homework Page 225/ 8-13 Remember that i is an imaginary number and i2 = -1