1/6+1/12+1/20+1/30+.+1/2005*2006 计算题

网友回答

=1/2*3+1/3*4+……+1/2005*2006
=1/2-1/3+1/3-1/4+……+1/2005-1/2006
=1/2-1/2006
=501/1003
======以下答案可供参考======
供参考答案1:
原式=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/2005-1/2006)
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2005-1/2006
=1/2-1/2006
=1002/2006
=501/1003