Big Ideas Math Integrated I, 2016
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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.

No, see solution.

Practice makes perfect

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.