数学题1/1*3+1/3*5+1/5*7+....1/97*99+1/99*101=?谢谢!
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![数学题1/1*3+1/3*5+1/5*7+....1/97*99+1/99*101=?谢谢!](/uploads/image/z/431531-35-1.jpg?t=%E6%95%B0%E5%AD%A6%E9%A2%981%2F1%2A3%2B1%2F3%2A5%2B1%2F5%2A7%2B%EF%BC%8E%EF%BC%8E%EF%BC%8E%EF%BC%8E1%2F97%2A99%2B1%2F99%2A101%EF%BC%9D%3F%E8%B0%A2%E8%B0%A2%21)
数学题1/1*3+1/3*5+1/5*7+....1/97*99+1/99*101=?谢谢!
数学题1/1*3+1/3*5+1/5*7+....1/97*99+1/99*101=?谢谢!
数学题1/1*3+1/3*5+1/5*7+....1/97*99+1/99*101=?谢谢!
0.5(1-1/3+1/3-1/5+1/5.-1/101)=0.5(1-1/101)=50/101
0.5(1-1/3+1/3-1/5+1/5............-1/101)=0.5(1-1/101)=50/101
0.5(1-1/3+1/3-1/5+1/5............-1/101)=0.5(1-1/101)=50/101
就是这样
50/101
0.5(1-1/3+1/3-1/5+1/5............-1/101)=0.5(1-1/101)=50/101
0.5(1-1/3+1/3-1/5+1/5............-1/101)=0.5(1-1/101)=50/101
0.5(1-1/3+1/3-1/5+1/5............-1/101)=0.5(1-1/101)=50/101
就是这样!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
灌水~
1/n-1/(n+2)=1/(n*(n+2))
所以题=0.5(1-1/3+1/3-1/5......+1/99-1/101)
=0.5*(1-1/101)
=50/101