1/n(n+2)=[1/n-1/(n+2)]*1/2
1/19*21+1/21*23+----+1/97*99
=1/2*(1/19-1/21+1/21-1/23+1/23-1/25+-----+1/97-1/99)
=1/2*(1/19-1/99)
=40/1881
1/n(n+2)=[1/n-1/(n+2)]*1/2
1/19*21+1/21*23+----+1/97*99
=1/2*(1/19-1/21+1/21-1/23+1/23-1/25+-----+1/97-1/99)
=1/2*(1/19-1/99)
=40/1881