Transcript Advanced Algebra II Notes 1.4 Graphing Sequences

Advanced Algebra II Notes 1.4 Graphing
Sequences
Turn to page 51 in your textbook. For each table, choose a recursive formula and a
graph that represents the same sequence.
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1. _________
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2. _________
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3. _________
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4. _________
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5. _________
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6. _________
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• What generalizations can you make about
arithmetic sequence graphs, geometric
sequence graphs, the effect of positive or
negative common differences, and the effect
of r values between 0 and 1 and r values
greater than 1?
Example
In deep water, divers find that their
surroundings become darker the deeper they
go. The data here give the percent of surface
light intensity that remains at depth n ft. in a
particular body of water.
Depth
Ft
0
%
100
Surface
light
10
20
30
40
50
60
70
78
60
47
36
28
22
17
Calculator Notes are available on
www.keymath.com
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2nd y = ENTER
Enter on 1: PLOT 1
Enter on ON
Down arrow to Type: enter on first (scatter plot)
X list: L1
Y list: L2
Go to Home Screen by pressing 2nd MODE
Press y = and clear out all equations
Press MODE and down arrow to FUNC PAR POL SEQ and right arrow to SEQ and ENTER
Press STAT
Enter on 1: Edit
Up arrow to L1 and press CLEAR, ENTER
Up arrow to L2 and press CLEAR, ENTER
Enter the depth values in List 1 and the Percent of light in List 2 (be sure that there are the same
number of entries in each List)
Press ZOOM and down arrow to 9 (ZOOMSTAT) and ENTER
A graph of the points will appear
Press y =
Set nMin to be the n-value of the starting term: 0 in this case
Enter the equation for u(n) . To get u(n – 1) press 2nd 7 (which gives the letter u) (variable button, - 1)
See page 53 for directions and sample screens
WINDOW: nMin 0 nMax 100
Assignment: page 54: 1 – 3, 5, 6, 9 - 11