The number 13 can be expressed as a sum of two consecutive positive integers 6+7. fourteen can be expressed as 2 + 3 + 4 + 5, also a sum of consecutive counting numbers. Now, Can all counting numbers be expressed as the sum of two or more consecutive counting numbers? If not, which ones can? Experiment, look for patterns, and come up with some conjectures.

Solution ;
Given
13 = 6+7
14= 2+3+4+5
Also 
5= 2+3 and 
10 = 1+2+3+4
but 16 can not be expressed as sum of consecutive numbers
 

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