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

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

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

Adding the numbers in pairs, we have:

(-2005 + 101) + (-596 + (-95)) + (21 + (-25)) + (31 + (-65)) + ...

Simplifying each pair, we get:

-1904 + (-691) + (-4) + (-34) + ...

Continuing this process, we have:

-1904 + (-691) + (-4) + (-34) + (-34) + (-4) + (-34) + (-4) + ...

We can see that the terms -34 and -4 repeat in the sequence. Since there are 10 pairs of -34 and -4, we can simplify the expression further:

-1904 + (-691) + (-4) + (-34) + (-34) + (-4) + (-34) + (-4) + ... + (-34) + (-4)

= -1904 + (-691) + (-4) + 10(-34) + 10(-4)

= -1904 + (-691) + (-4) - 340 - 40

= -1904 - 691 - 4 - 340 - 40

= -2979 - 384 - 340 - 40

= -3743 - 380 - 40

= -4123 - 40

= -4163

Therefore, the sum of the given sequence is -4163.