一道数学计算题的简便算法~1/1*3+1/3*5+

一道数学计算题的简便算法~1/1*3+1/3*5+1/5*7+.1/97*99

1个回答

1/1*3+1/3*5+1/5*7+.1/97*99
=1/2(2/1*3+2/3*5+……+2/97*99)
=1/2(1-1/3+1/3-1/5+……+1/97-1/99)
=1/2(1-1/99)
=49/99