At 1, 2, 3 Add "+" - "before, 2006, 2007, 2008 and calculate in order, will the result be equal to 2008

At 1, 2, 3 Add "+" - "before, 2006, 2007, 2008 and calculate in order, will the result be equal to 2008

meeting

1+(-2)+3+(-4)+…… What is 2007 + (- 2008) equal to

1-2+3-4+5-6+...+2007-2008
＝（1－2）＋（3－4）＋（5－6）＋…… ＋（2007－2008）
＝（－1）×1004
＝－1004

How much is (1-1 / 2) + (1 / 2-1 / 3) + (1 / 3-1 / 4) +... + (1 / 2007-1 / 2008)?
also
How much is 1 + 1 / 2 * 3 + 1 / 2 * 3 + 1 / 3 * 4 +... + 1 / 2007 * 2008,

Expand the brackets: 1-1 / 2 + 1 / 2-1 / 3 + 1 / 3-1 / 4 + 1 / 4-1 / 5 + -1 / 2007 + 1 / 2007-1 / 2008 = 1-1 / 2008 = 2007 / 2008 second: original deformation = 1 + (1 / 2-1 / 3) + (1 / 3-1 / 4) + (1 / 4-1 / 5) + +(1 / 2007-1 / 2008) ditto = 1 + 1 / 2-1 / 2008 = 3011 / 20