-2005+(-596)+21+(-25)+31+...+(-95)+101

To find the sum of the given sequence, we can add the numbers together:

-2005 + (-596) + 21 + (-25) + 31 + ... + (-95) + 101

= -2005 - 596 + 21 - 25 + 31 + ... - 95 + 101

= -2604 + 21 - 25 + 31 + ... - 95 + 101

= -2604 + 21 - 25 + 31 - 35 + 41 - 45 + ... - 95 + 101

Now, we can group the numbers in pairs:

= (-2604 + 21) + (-25 + 31) + (-35 + 41) + ... + (-85 + 91) + (-95 + 101)

= -2583 + 6 + 6 + ... + 6 + 6

There are a total of 50 pairs, so we have:

= -2583 + 50(6)

= -2583 + 300

= -2283

Therefore, the sum of the given sequence is -2283.