2+3-4+5+6-7+8+9-10+.+98+99-100=
2+(3-4)+5+(6-7)+8+(9-10)+.+98+(99-100)
=2+5+8+...+[3*(n-1)+2]+...+[3*(33-1)+2]-33
=2*33-33+3*(1+2+...+n+...+32)
=33+3*(1+32)/(32/2)
=1617
2+3-4+5+6-7+8+9-10+.+98+99-100=
2+(3-4)+5+(6-7)+8+(9-10)+.+98+(99-100)
=2+5+8+...+[3*(n-1)+2]+...+[3*(33-1)+2]-33
=2*33-33+3*(1+2+...+n+...+32)
=33+3*(1+32)/(32/2)
=1617