Who knows 1 / (1 * 4) - 1 / (4 * 7) - 1 / (7 * 10) - 1 / (10 * 13)... - 1 / (2002 * 2005) - 1 / (2005 * 2008)

Who knows 1 / (1 * 4) - 1 / (4 * 7) - 1 / (7 * 10) - 1 / (10 * 13)... - 1 / (2002 * 2005) - 1 / (2005 * 2008)

(1/3)*(1-1/4+1/4-1/7+1/7-1/10+1/10.+1/2005-1/2008
=(1/3)*(1-1/2008)
=1/3*2007/2008
=669/2008