A sequence is defined by f(0) = -4, f(n) = f(n – 1)- 2 for n > 1. Write a definition for the %3D | nth term of the sequence.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter14: Sequences And Mathematical Induction
Section14.1: Arithmetic Sequences
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A sequence is defined by f(0) = -4, f(n) = f(n – 1) - 2 for n > 1. Write a definition for the
nth term of the sequence.
Here is the recursive definition of a sequence: f(1) = 3, f(n) = 2. f(n- 1) for n> 2.
60
1. Find the first 5 terms of the sequence.
50
2. Graph the value of the term as a function of the term number.
3. Is the sequence arithmetic, geometric, or neither? Explain
how you know.
40
30
20
10
1 2
3
4
6
term number
F5
F6
FZ
F8
F9
F10
%
*
5
8
value
Transcribed Image Text:A sequence is defined by f(0) = -4, f(n) = f(n – 1) - 2 for n > 1. Write a definition for the nth term of the sequence. Here is the recursive definition of a sequence: f(1) = 3, f(n) = 2. f(n- 1) for n> 2. 60 1. Find the first 5 terms of the sequence. 50 2. Graph the value of the term as a function of the term number. 3. Is the sequence arithmetic, geometric, or neither? Explain how you know. 40 30 20 10 1 2 3 4 6 term number F5 F6 FZ F8 F9 F10 % * 5 8 value
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