Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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• For term (a), what are some values of a that make sense to use? Explain your reasoning.
• For term k(a), what are some values of a that don't make sense to use? Explain your
reasoning.
h(1)=2,
h(2)=6.
• The first two numbers in a sequence
• If h is an arithmetic sequence, write a definition for the nth term of h. Explain or show vour
are
and
reasoning.
• if h is a geometric sequence, write a definition for the n term of h. Explain or show vour
reasoning.
Transcribed Image Text:• For term (a), what are some values of a that make sense to use? Explain your reasoning. • For term k(a), what are some values of a that don't make sense to use? Explain your reasoning. h(1)=2, h(2)=6. • The first two numbers in a sequence • If h is an arithmetic sequence, write a definition for the nth term of h. Explain or show vour are and reasoning. • if h is a geometric sequence, write a definition for the n term of h. Explain or show vour reasoning.
5. A piece of paper has an area of 81 cm2. A strip is cut off that is the original area. From that
strip, another strip is cut off that is the area of the first, and so on.
Here is a graph and table representing sequence k, where k(n) is the area in square
centimeters of the strip of paper after n cuts.
85
80
75
70
number
area in square
65
of cuts
centimeters
60
55
81
50
45
40
1
27
35
E30
25
20
15
10
4
number of cuts
• Is sequence k geometric or arithmetic? Explain how you know.
• Write an equation to define sequence k recursively.
area in square.centimeters
Transcribed Image Text:5. A piece of paper has an area of 81 cm2. A strip is cut off that is the original area. From that strip, another strip is cut off that is the area of the first, and so on. Here is a graph and table representing sequence k, where k(n) is the area in square centimeters of the strip of paper after n cuts. 85 80 75 70 number area in square 65 of cuts centimeters 60 55 81 50 45 40 1 27 35 E30 25 20 15 10 4 number of cuts • Is sequence k geometric or arithmetic? Explain how you know. • Write an equation to define sequence k recursively. area in square.centimeters
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