Here is a recursive definition for a sequence f: f(0) = 19, f(n) = f(n − 1) – 6 for n? 1. The definition for the nth term is f(n) = 19 - 6. n for n > 0.
a. Explain how you know that these definitions represent the same sequence.
b. Select a definition to calculate f(20), and explain why you chose it.
(From Unit 1, Lesson 8.)
7. An arithmetic sequence j starts 20, 16, ... Explain how you would calculate the value
of the 500th term.
(From Unit 1, Lesson 8.)