Another observation is that you can always add the consecutive postive or negative numbers together, so you only need to deal with the case when the sequence is alternating, +-+-+-+-...+. That may simplify the logic. But tilly's solution is certainly elegant, the only "drawback" is that it's not symmetric, would be more beautiful if it went from both ends.
in reply to Re^2: Largest Sum of Consecutive Integers (abstraction)
in thread Largest Sum of Consecutive Integers