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From Algebra Worksheets - by HelpingWithMath.com

Generating and Comparing Sequences

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1. Generate two numerical sequences using the rules "Add 5" and "Add 20." Start at zero.

Sequence 1:  0 ,  5 ,  10 ,  15 ,  20  ,  25 

Sequence 2:  0 ,  20 ,  40 ,  60 ,  80  ,  100 

Compare: What is the relationship? Why? The terms on the second list are 4 times as big. The rule "add 20" is adding 4 times as much each time as the rule "Add 5."

 

 

2. Generate two numerical sequences using the rules "Add 6 " and "Add 18." Start at zero.

Sequence 1:  0 ,  6 ,  12 ,  18 ,  24  ,  30 

Sequence 2:  0 ,  18 ,  36 ,  54 ,  72  ,  90 

Compare: What is the relationship? Why? The terms on the second list are 3 times as big. The rule "add 18 " is adding 3 times as much each time as the rule "Add 6."

 

 

3. Generate two numerical sequences using the rules "Add 3 " and "Add 12." Start at zero.

Sequence 1:  0 ,  3 ,  6 ,  9 ,  12  ,  15 

Sequence 2:  0 ,  12 ,  24 ,  36 ,  48  ,  60 

Compare: What is the relationship? Why? The terms on the second list are 4 times as big. The rule "add 12 " is adding 4 times as much each time as the rule "Add 3."

 

 

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Related Resources

The various resources listed below are aligned to the same standard, (5OA03) taken from the CCSM (Common Core Standards For Mathematics) as the Algebra Worksheet shown above.

Generate two numerical patterns using two given rules. Identify apparent relationships ...

Charts

Page

Number Patterns

Worksheets

 

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