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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 21 Page 318

Make a table to organize the terms before finding the pattern.

a_1=1, a_n=2* a_(n-1)

Practice makes perfect

Let's make a table that shows the number of bacterial cells over time.

From the table we see that there is a common ratio of 2, so it is a geometric sequence. Since r= 2, we can write the recursive equation for the number of bacterial cells over time. a_n= r* a_(n-1) ⇒ a_n= 2* a_(n-1) The recursive rule is the recursive equation together with the first term. Recursive Rule: a_1=1, a_n=2* a_(n-1)

Subchapter links

Communicate Your Answer p.313

Monitoring Progress p.315-317

Exercises p.318-320