If S is the sum of the integers from 51 to 150 and T is the sum of the integers from 151 to 250, what is the value of S-T

Here there are 2 an Arithmetic progression and the sum of consecutive integers S = (1st term + last term) x (1/2) (the number of terms:

:

S = (51+150) x (100/2) = 10,050

T = (151+250) X (100/2) = 20050

S - T = 10,050 - 20050 = - 10,000