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Sequences & Series

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• 

  

  Bobby made a pattern by shading some of the squares in the designs.

  Continue the pattern. How many squares should Bobby shade in Design 4?

  
  

  13

  20

  25

  36

  
  
  

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• 

  

  Diane wants to extend the pattern shown. 11, 12, 14, 17, 21, … She noticed another pattern when she found the differences between terms as shown in the diagram. If the differences continue to increase by 1, what will be the 9th term in Diane’s original pattern?

  
  

  25

  26

  39

  47

  
  
  

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• 

  Maria is making a quilt. She has a large piece of fabric that is 0.02 millimeters thick. The fabric is cut in half and one piece is placed on top of the other to make a pile. The pile is cut in half, and then one half is placed on top of the other to make a higher pile. Continuing this process, what would the thickness of the pile be after the 4th cut and piling?

  
  

  0.0016 millimeters

  0.08 millimeters

  0.32 millimeters

  16 millimeters

  
  
  

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• 

  What number comes next in the series shown? 1 2 5 10 17 26 ?

  
  

  35

  37

  39

  41

  
  
  

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