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		  |   ARITHMETIC
		      SEQUENCE AND SERIES | 
		 
		
		  
			
			  
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				The Gauss 10 year old
				      problem:	 
				       			    
			        When Carl Frederick Gauss was ten years old his teacher,
				    Master Buttner, who loved to teach Latin but did not like
				    to teach mathematics asked
				    Gauss to find the sum of the first 100 counting numbers. 
				     
				    1
				    + 2 + 3 + 4 + 5 + . . . + 96 + 97 + 98 + 99 + 100 
                     
                    What
                    did Gauss do? | 
			   
			 
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