To find the sum of these terms, we first need to simplify each term and then add them together.

(2-1) = 1
(4-3) = 1
...
(2014-2013) = 1

Now we add all the simplified terms together:

1 + 1 + ... + 1

Since there are a total of 1000 terms (from 2 to 2014), we can simply multiply 1 by 1000 to find the sum:

1 * 1000 = 1000

Therefore, the sum of (2-1)+(4-3)+...+(2014-2013) is 1000.