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100 + 99 + 98 + ... + 1 = a
____________________ +
101 + 101 + ... + 101 = 2a
100 x 101 = 2a
a = 50 x 101
= 5050
11+12+13+14+15+16+17+18+19+20 = 155
21+22+23+24+25+26+27+28+29+30 = 255
31+32+33+34+35+36+37+38+39+40 = 355
41+42+43+44+45+46+47+48+48+50 = 455
51+52+53+54+55+56+57+58+59+60 = 555
61+62+63+64+65+66+67+68+69+70 = 655
71+72+73+74+75+76+77+78+79+80 = 755
81+82+83+84+85+86+87+88+89+90 = 855
91+92+93+94+95+96+97+98+99+100 = 955 +
5050