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pascal's patterns


                1                
              1   1              
            1   2   1            
          1   3   3   1          
        1   4   6   4   1        
      1   5   10   10   5   1      
    1   6   15   20   15   6   1    
  1   7   21   35   35   21   7   1  
1   8   28   56   70   56   28   8   1


What is the sum of each row? Find a way to describe the pattern of sums by comparing each row's sum to the corresponding row number.


 Extensions

What other patterns do you notice in this triangle of numbers?


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