



 
Hi Mimi, You want to calculate \[2,006 1 2 3  \cdot \cdot \cdot 48 49 50 = 2,006  (1 +2 +3 +\cdot \cdot \cdot + 48 +49 + 50)\] so the result is easily obtained if you can calculate \[1 +2 +3 +\cdot \cdot \cdot + 48 +49 + 50.\] To do this I would start at both ends and work towards the middle. \[1 + 50 = 51, 2 + 49 = 51, 3 + 48 = 51\] How many 51s are there? What is \[1 +2 +3 +\cdot \cdot \cdot + 48 +49 + 50?\] Penny  


Math Central is supported by the University of Regina and the Imperial Oil Foundation. 