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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 16 Page 317

Pay close attention to how the consecutive terms are related.

Recursive Rule: $a_{1} = 1, a_{2} = 1, a_{n} = a_{n - 1} - a_{n - 2}$ Next three terms: $0, - 1, - 1$

Practice makes perfect

We want to write a recursive formula for the given sequence.

1, 1, 0, - 1, - 1, 0, 1, 1, \dots

To do so we need to analyze how the consecutive terms are related. Let's find the difference between each pair of consecutive terms.

Subchapter links

Communicate Your Answer p.313

Monitoring Progress p.315-317

Exercises p.318-320