Patterns and Sequences - Worksheets | MATH 211, Assignments of Mathematics

Material Type: Assignment; Class: Fund Element Math I >4; Subject: Mathematics; University: University of Oregon; Term: Unknown 2006;

Typology: Assignments

Pre 2010

Uploaded on 07/29/2009

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Math 211
Patterns and Sequences
Directions: Work in groups of three and turn in only one well written copy. The worksheets
will be collected with your homework tomorrow and must comply to the same standards.
Note when a problem asks to create your own example, do not use examples out of the text
but come up with your own examples.
1. Recall the arithmetic sequence introduced in class. Fill in the following table:
1 3 = 3 = 3 + 0 ·2
2 5 = 3 + 2 = 3 + 1 ·2
3 7 = (3 + 2) + 2 = 3 + 2 ·2
4 9 = (3 + 2 + 2) =
5
6
7
.
.
.
n
2. Create your own arithmetic sequence for an elementary school class.
Create a table recording the sequence as done in 1. Include in the table the
expression for the nth term.
1
pf3

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Math 211

Patterns and Sequences

Directions: Work in groups of three and turn in only one well written copy. The worksheets will be collected with your homework tomorrow and must comply to the same standards. Note when a problem asks to create your own example, do not use examples out of the text but come up with your own examples.

  1. Recall the arithmetic sequence introduced in class. Fill in the following table: 1 3 = 3 = 3 + 0 · 2 2 5 = 3 + 2 = 3 + 1 · 2 3 7 = (3 + 2) + 2 = 3 + 2 · 2 4 9 = (3 + 2 + 2) = 5 6 7 .. . n
  2. Create your own arithmetic sequence for an elementary school class.
    • Create a table recording the sequence as done in 1. Include in the table the expression for the nth term.
  1. Recall the geometric sequence introduced in class with the 4th and 5th terms being 27 and 40.5 respectively. We found the fixed number to multiply to give us successive numbers in the sequence in class. Find the first number?
  2. Create your own geometric sequence for an elementary school class.
    • Create a table recording the sequence as done in 1. Include in the table the expression for the nth term.
  3. Create your own non-arithmetic and non-geometric sequence for an elementary school class. Describe the pattern and explain why it is not arithmetic or geometric.