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4-7 Solve It!
A wooden post-and-rail fence with two rails is made as shown below.
Find the number of pieces of wood needed to build a 4-section fence,
a 5-section fence, and a 6-section fence. Suppose you want to build a
fence with 3 rails. How many pieces of wood are needed for each size
fence? Describe the pattern.
Identify the
pattern so you can
extend it.
Post
Rail
4 pieces
7 pieces
10 pieces
4-7 Lesson Quiz
1. Describe the pattern in each sequence. What are the next two
terms of each sequence?
a. 14, 11, 8, 5, ...
b. 20, 25, 30, 35, ...
2. Tell whether the sequence is arithmetic. If it is, what is the
common difference?
a. 26, 2, 10, 18, ...
b. 1, 2, 4, 8, ...
3. Do you UNDERSTAND? Jason is studying a new plant food
for a science experiment. The plant is 14 cm tall when the
experiment begins and grows at a rate of 1.5 cm per week.
What will the height of the plant be after 5 weeks?
0274_hsm11a1se_0407.indd 274
2/5/09 3:45:41 PM
Answers
Solve It!
Lesson Quiz
16, 19; 17, 21, 25; 29, start
with the number of pieces of
wood it takes to build one
section and add the number of
pieces of wood needed to build
an additional section times the
number of sections.
1. a. The pattern is “subtract 3
from the previous
number”; 2, 21.
b. The pattern is “add 5 to
the previous number”;
40, 45.
2. a. arithmetic, 8
b. not arithmetic
3. 21.5 cm
Prentice Hall Algebra 1 • Solve It/Lesson Quiz on Transparencies
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