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Big Ideas Math Integrated I, 2016 View details

6. Recursively Defined Sequences

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Exercise 58 Page 320

Check for a common ratio.

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Let's start by checking for a common ratio in the given sequence.

We see that there is common ratio of - 1, so it is a geometric sequence with first term a_1=- 5. Since it is geometric, we can represent it with a recursive rule. Let's write the recursive equation. a_n= r* a_(n-1) ⇕ a_n= - 1* a_(n-1) The recursive rule for the sequence is a_1=- 5, a_n=- 1* a_(n-1). Recursive Rule: a_1=- 5, a_n=- 1* a_(n-1) Therefore, our friend's claim is not correct.

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Communicate Your Answer p.313

Monitoring Progress p.315-317

Exercises p.318-320

Exercise 58 Page 320

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