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Recognizing and Extending Patterns

Learn to recognize and extend numerical and scheduling patterns to find the next numbers or dates in a sequence.

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Recognizing and Extending Patterns

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  1. EXAMPLE 1 Recognizing and Extending a Pattern Scheduling Events You are a member of a summer movie club at your local movie theater. The club meets every Wednesday in July to watch a movie. The first meeting is on July 6. On what other dates in July will the club meet?

  2. Date of first meeting: July 6 +7 Date of second meeting: July 13 +7 Date of third meeting: July 20 +7 Date of fourth meeting: July 27 EXAMPLE 1 Recognizing and Extending a Pattern To answer the question about the summer movie club above, start with July 6th and repeatedly add 7 days to the date.

  3. ANSWER The club will meet on July 13, July 20, and July 27. EXAMPLE 1 Recognizing and Extending a Pattern

  4. +5 +5 +5 2, 7, 12, 17, 22, 27, 32,… +5 +5 +5 ANSWER The pattern is add 5. The next three numbers are 22, 27, and 32. EXAMPLE 2 Extending a Numerical Pattern Describe the pattern: 2, 7, 12, 17, . . . . Then write the next three numbers.

  5. 3 3 3 2, 16, 18, 54, 162, 486, 1458,… 3 3 3 ANSWER The pattern is multiply by 3. The next three numbers are 162, 486, and 1458. EXAMPLE 3 Extending a Numerical Pattern Describe the pattern:2, 6, 18, 54, . . . . Then write the next three numbers.

  6. 1. Bus Schedule ANSWER 3:00 P.M., 3:40 P.M.,4:20 P.M. for Examples 1, 2, and 3 GUIDED PRACTICE A city bus drives by your house every 40 minutes during the afternoon. The first time you see the bus is at 2:20 P.M. At what other times will you see the bus before 5:00 P.M.?

  7. 28, 24, 20, 16, … 256, 128, 64, 32, … 2. 3. ANSWER ANSWER Subtract4 from the previous number: 12, 8,4. Divide the previous number by 2: 16, 8, 4. for Examples 1, 2, and 3 GUIDED PRACTICE Describe the pattern. Then write the next three numbers.

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