Patterns: Linear and/or Exponential
Assessment
In problems 1 and 2, write the next three terms of each sequence.
1.
2, 5, 8, 11, …
2.
2, 4, 8, 16, …
3.
When finding the next three terms of the sequence 1, 3, 6, 10, 15,…, a student
wrote the following three numbers:
1, 3, 6, 10, 15, 20, 25, 30
Describe the mistake that student made and what the three numbers should
have been.
In problems 4 and 5, decide whether the sequence is linear, exponential or neither.
Circle your choice.
4.
35, 29, 23, 17, …
linear / exponential / neither
5.
1, 2, 5, 4, 9, 6, 13, …
linear / exponential / neither
6.
If 64, 128, and 256 are three terms of a sequence. Find the 5 terms that
precede them. Place your answers in the blanks provided.
___, ___, ___, ___, ___, 64, 128, 256…
7.
Starting with a first term of -2, create a linear sequence with at least 5
additional terms. Use a common difference of 4.
-2, ____, ____, ____, ____, ____
8.
Create an exponential sequence with at least 4 terms.
____, ____, ____, ____
Improving Student Achievement in Algebra, Grades 7-12. The DuPage1 Mathematics
Network. DuPage Regional Office of Education. May 2007
1
9.
Your teacher presents your class the following homework policy option:
For the first week of school, you will have 1 minute of homework. For the second week
of school, you will have 2 minutes of homework. During week 3, you will have 4
minutes. Week 4 will have 8 minutes. This pattern will continue for all 36 weeks of
school.
Would you agree with this policy? Explain your answer using the vocabulary and
concepts used in this unit.
Improving Student Achievement in Algebra, Grades 7-12. The DuPage1 Mathematics
Network. DuPage Regional Office of Education. May 2007
2
10. One of the two graphs below is exponential and the other is linear. Write the
appropriate label next to each graph. At the bottom of the page, explain your answer.
Make sure to use vocabulary and concepts from this unit in your explanation.
a.
10
9
8
7
6
5
4
3
2
1
0
0
2
4
6
8
b.
90
80
70
60
50
40
30
20
10
0
0
2
4
6
8
10
Improving Student Achievement in Algebra, Grades 7-12. The DuPage1 Mathematics
Network. DuPage Regional Office of Education. May 2007
3