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 Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 34
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