if f(n) = 1/n - 1/(n+1) then
f(1) + f(2) + . . . + f(100) = ?
-- James.
 
			
			 
					
				
			
			 
			
				if f(n) = 1/n - 1/(n+1) then
f(1) + f(2) + . . . + f(100) = ?
-- James.
 
			
			 
					
				
			
			 
			
				The function reduces to
1-(1/101) = 100/101
 
			
			 
					
				
			
			 
			
				You are right.
-- James.
 
			
			 
					
				
			
			 
			
				James thanks for updating me as right. The problem was a interesting numerical problem. Waiting for some more problems like this to solve.