Question

a] 2-4+6-8+...+1998-2000

b] 2-4-6+8+10-12-14+16+...+1994 -1996-1998+2000

Answer 1

a)

S1 = 2 - 4 + 6 - 8 + ..... + 1998 - 2000

    = (2 - 4) + (6 - 8) + ..... + (1998 - 2000)

    = (-2) + (-2) + ..... + (-2)

    = (-2).500

    = -1000

b)

S2 = 2 - 4 - 6 + 8 + ..... + 1994 - 1996 - 1998 + 2000

    = (2-4-6+8)+ ..... + (1994-1996-1998+2000)

    = 0 + 0 + ...... + 0

    = 0