计算8\(3*5)+8\(5*7)+8\(7*9).+8\(23*25)
问题描述:
计算8\(3*5)+8\(5*7)+8\(7*9).+8\(23*25)
答
8/(3*5)=4*(1/3-1/5)
8/(5*7)=4*(1/5-1/7)
8/(7*9)=4*(1/7-1/9)
...
8/(23*25)=4*(1/23-1/25)
所以
8/(3*5)+8/(5*7)+8/(7*9).+8/(23*25)
=4*(1/3-1/25)
=4*22/75
=88/75