1/1*3+1/3*5+1/5*7+.+1/99*101
问题描述:
1/1*3+1/3*5+1/5*7+.+1/99*101
/是分数,*是乘号
答
*3+1/3*5+1/5*7+.+1/99*101
=(1/2)*(2/1*3+2/3*5+2/5*7+.+2/99*101)
=(1/2)*(1/1-1/3+1/3-1/5+1/5-1/7+.+1/99-1/101)
=(1/2)*(1-1/101)
=50/101