巧算:(1-1/2002)+(2-1/2002*2)+.+(2002-1/2002*2002)

Question

巧算:(1-1/2002)+(2-1/2002*2)+.+(2002-1/2002*2002)

Answer 1

很好算,将括号去掉,也即等于1+2+3+...+2002-(1/2000+.+1/2002*2002)
等差加等比,算出即可,当然1/2000的2002次方可约等于0