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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 34 Page 319

Can you find the common ratio and the first term just by looking at the explicit formula?

a_1=-81, a_n = (2/3)a_(n-1)

Practice makes perfect

We want to write the recursive formula for the given geometric sequence. Looking at the explicit formula, we can identify the common ratio r and the value of the first term a_1.

a_n= -81 ( 2/3)^(n-1) We can see that 23 is the common ratio and the first term is -81. Now we have enough information to form an recursive formula for this sequence. la_1=a a_n=r* a_(n-1) ⇒ la_1= -81 a_n=( 2/3 )a_(n-1)

Subchapter links

Communicate Your Answer p.313

Monitoring Progress p.315-317

Exercises p.318-320