HOMEWORK: #1-6 Lesson 8 Practice Problems 1. A sequence is defined by f(0) = -20, f(n)=f(n-1)-5 for n 2 1. a. Explain why f(1) =-20-5. anima b. Explain why f(3) =-20-5-5-5. HW c. Complete the expression: f(10)=-20-_ Explain your reasoning. 2. A sequence is defined by f(0) = -4, f(n) = f(n-1)-2 for n 2 1. Write a definition for the nth term of the sequence.
HOMEWORK: #1-6 Lesson 8 Practice Problems 1. A sequence is defined by f(0) = -20, f(n)=f(n-1)-5 for n 2 1. a. Explain why f(1) =-20-5. anima b. Explain why f(3) =-20-5-5-5. HW c. Complete the expression: f(10)=-20-_ Explain your reasoning. 2. A sequence is defined by f(0) = -4, f(n) = f(n-1)-2 for n 2 1. Write a definition for the nth term of the sequence.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 9T
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HOMEWORK: #1-6
Lesson 8 Practice Problems
1. A sequence is defined by f(0) = -20, f(n) = f(n-1)-5 for n ≥ 1.
a. Explain why f(1) = -20-5.
pritoriw anirmated sonst
b. Explain why f(3) =-20-5-5-5.
c. Complete the expression: f(10) = -20 - Explain your reasoning.
2. 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.
3. Here is the recursive definition of a sequence: f(1) = 3, f(n)=2. f(n-1) for
n≥ 2.
a. Find the first 5 terms of the sequence.
b. Graph the value of the term as a function of the
term number.
c. Is the sequence arithmetic, geometric, or neither?
Explain how you know.
4. Here is a graph of sequence M. Define M recursively
using function notation.
value
60
50
40
30
20
10
10
8
6
4
2
O
-2
-4
Ol
1 2 3 4 5 6
term number
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