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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

6. Recursively Defined Sequences

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Exercise 19 Page 318

Use a table to organize the terms and find the pattern.

a_1=-1, a_n=4 a_(n-1)

Practice makes perfect

To write a recursive formula for the given sequence, we will use a table to organize the terms given in the graph and find the pattern.

The sequence is geometric, with first term a_1= -1 and common ratio r= 4. To write the recursive formula, we will substitute these values into the general formula for the recursive rule of a geometric sequence. la_1=a; a_n=r* a_(n-1) ⇒ la_1= -1, a_n= 4 a_(n-1)

Subchapter links

Communicate Your Answer p.313

Monitoring Progress p.315-317

Exercises p.318-320