2+4+6+8+.+1000+1002

2+4+6+8+.+1000+1002

2+4+6+8+.+1000+1002
=2*(1+2+3+.500+501)
=Summation formula of 2 * 1 / 2 * (501 + 1) * 501 arithmetic sequence
=501*502=51102
Method 2
S=2+4+6+8+.+1000+1002 (1)
S=1002+1000+.+4+2 (2)
Two formula addition
2S=(1002+2)*501
S=(1002+2)*501/2=501*502=51102