脱式计算,能简算简算

2个回答

  • 100-99+98-97+...+6-5+4-3+2-1

    =(100-99)+(98-97)+(96-95)+……+(6-5)+(4-3)+(2-1)

    =1×50

    =50

    1/2+1/6+1/12+1/20+1/30+.+1/72+1/90

    = 1/1*2 +1/2*3 +1/3*4 +...+1/8*9 +1/9*10

    = (1/1 -1/2)+(1/2 -1/3)+...+(1/8 -1/9)+(1/9 -1/10)

    = 1/1 -1/10

    = 9/10

    很高兴能帮到你,如果觉得好请选为满意答案 ,祝你学习进步 (*^__^*)