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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 22 Page 318

Make a table to organize the terms. Then find the pattern.

a_1=4 12, a_n=a_(n-1)+1/4

Practice makes perfect

Let's make a table that shows the length of the deer antler over time.

From the table we see that there is a common difference of 2, so it is an arithmetic sequence. Since d= 2, we can write the recursive equation for the length of the deer antler. a_n=a_(n-1)+ d ⇒ a_n=a_(n-1)+ 1/4 The recursive rule is the recursive equation together with the first term. Recursive Rule: a_1=4 12, a_n=a_(n-1)+1/4

Subchapter links

Communicate Your Answer p.313

Monitoring Progress p.315-317

Exercises p.318-320