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Sequences & Series

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• 

  

  Shane is using wooden cubes to make the pyramid-shaped structure shown in the picture.

  How many cubes will be needed to make the sixth layer if the pattern is continued?

  
  

  16

  20

  25

  36

  
  
  

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• 

  

  Look at the figures shown. If the number of units in the square pattern of figures continues to increase arithmetically as shown, how many square units will be in the 9th figure?

  
  

  9

  3⁹ + 1

  9(3 + 1)

  1 + (3 x 9)

  
  
  

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  The table shown contains the results of a biology experiment. Assuming the pattern shown in the table continues, what is the value of b?

  
  

  108

  130

  162

  243

  
  
  

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