|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+···+|1/10+1/9|的答案与解析

|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+···+|1/10+1/9|的答案与解析
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+···+|1/10+1/9|的答案与解析

|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+···+|1/10+1/9|的答案与解析
因为|1/3-1/2|=1/2-1/3
所以原式=1/2-1/3+1/3-1/4+1/4-1/5.+1/9-1/10=1/2-1/10=2/5

|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+···+|1/10-1/9|
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+......+（1/9-1/10) (∵1/(n+1)-1/n<0)
=1/2-1/10
=2/5