Question

2+4+6+...............+500+2006=

Answer 1

2(1+2+3+....+250) +2006 = 
2($\frac{250*251}{2}$)+2006 = 
2*$\frac{62750}{2}$)+2006 = 
2*31375 + 2006 = 62750+2006 = 64756