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In this guide, you will learn how to sketch the fourth figure in a specific visual pattern. Each circle in the pattern is divided into double the number of equal regions corresponding to the figure number. For the fourth figure, you will divide a circle into eighths. After dividing the circle, shade the section just above the horizontal line on the left side. Additionally, examples of number patterns will be provided to enhance understanding and practice.
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Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure. Each circle is divided into twice as many equal regions as the figure number. Sketch the fourth figure by dividing a circle into eighths. Shade the section just above the horizontal segment at the left. EXAMPLE 1 Describe a visual pattern SOLUTION
Notice that each number in the pattern is three times the previous number. ANSWER Continue the pattern. The next three numbers are –567, –1701, and –5103. EXAMPLE 2 Describe a number pattern Describe the pattern in the numbers –7, –21, –63, –189,… and write the next three numbers in the pattern.
1. Sketch the fifth figure in the pattern in example 1. ANSWER Graphic Required for Examples 1 and 2 GUIDED PRACTICE
2. Describe the pattern in the numbers 5.01, 5.03, 5.05, 5.07,… Write the next three numbers in the pattern. Notice that each number in the pattern is increasing by 0.02. 5.01 5.03 5.05 5.09 5.11 5.13 5.07 +0.02 +0.02 +0.02 +0.02 +0.02 +0.02 ANSWER Continue the pattern. The next three numbers are 5.09, 5.11 and 5.13 for Examples 1 and 2 GUIDED PRACTICE
