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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 5 Page 315

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

a_1=8, a_n=a_(n-1) - 5

Practice makes perfect

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

The sequence is arithmetic with a first term of a_1=8 and a common difference of d=- 5. To write the recursive rule, we will substitute these values into the general formula for the recursive rule of an arithmetic sequence. la_1=a a_n=a_(n-1)+d ⇒ la_1= 8 a_n=a_(n-1) - 5

Subchapter links

Communicate Your Answer p.313

Monitoring Progress p.315-317

Exercises p.318-320