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?
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.
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
ANSWER
The club will meet on July 13, July 20, and July 27.
EXAMPLE 2
Extending a Numerical Pattern
Describe the pattern: 2, 7, 12, 17, . . . . Then write the
next three numbers.
+5
2,
+5 +5
7,
12,
17,
22,
+5
ANSWER
27,
+5 +5
The pattern is add 5. The next three
numbers are 22, 27, and 32.
32,…
EXAMPLE 3
Extending a Numerical Pattern
Describe the pattern: 2, 6, 18, 54, . . . . Then write the
next three numbers.
3
3
3
2, 16, 18, 54, 162, 486, 1458,…
3
ANSWER
3
3
The pattern is multiply by 3. The next
three numbers are 162, 486, and 1458.
GUIDED PRACTICE
for Examples 1, 2, and 3
1. Bus Schedule
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.?
ANSWER
3:00 P.M., 3:40 P.M., 4:20 P.M.
GUIDED PRACTICE
for Examples 1, 2, and 3
Describe the pattern. Then write the next three
numbers.
2. 28, 24, 20, 16, …
ANSWER
Subtract 4 from the previous number:
12, 8, 4.
3. 256, 128, 64, 32, …
ANSWER
Divide the previous number by 2:
16, 8, 4.