1/2+1/(2+3)+1/(2+3+4)+...+1/(2+3+...+58)
来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/09/20 15:32:36
1/2+1/(2+3)+1/(2+3+4)+...+1/(2+3+...+58)
1/2+1/(2+3)+1/(2+3+4)+.+1/(2+3+4+5+...58)
=1/2+1/[2*(2+3)/2]+1/[3*(2+4)/2]+……+1/[57*(2+58)/2]
=1/2+2/(2*5)+2/(3*6)+2/(4*7)+……+2/(57*60)
=1/2+2/3(1/2-1/5)+2/3(1/3-1/6)+2/3(1/4-1/7)+……+2/3(1/57-1/60)
=1/2+2/3(1/2-1/5+1/3-1/6+1/4-1/7+1/5-1/8+……+1/57-1/60)
=1/2+2/3(1/2+1/3+1/4-1/58-1/59-1/60)
剩下的自己算吧
=1/2+1/[2*(2+3)/2]+1/[3*(2+4)/2]+……+1/[57*(2+58)/2]
=1/2+2/(2*5)+2/(3*6)+2/(4*7)+……+2/(57*60)
=1/2+2/3(1/2-1/5)+2/3(1/3-1/6)+2/3(1/4-1/7)+……+2/3(1/57-1/60)
=1/2+2/3(1/2-1/5+1/3-1/6+1/4-1/7+1/5-1/8+……+1/57-1/60)
=1/2+2/3(1/2+1/3+1/4-1/58-1/59-1/60)
剩下的自己算吧
1\2+(1\3+2\3)+(1\4+4\2+4\3)+.(1\60+2\60+.+58\60+59\60)
1/1×2+1/1-1/2:;1/2×4=1/2×(1/2-1/4);1/58×=1/3(×1/5-1/8)
数字推理(1)0,1,(),2,3,4,4,5 (2)2,33,45,58,() (3)25,58,811,(),141
(1/2+1/3+1/4+.+1/60)+(2/3+2/4+2/5+.+2/60)+.+(58/59+58/60)+59
“1”“2”“3”“4”
1+2+3×4
(1+1/2+1/3+……+1/60)+(2/3+2/4+……+3/60)+……+(58/59+58/60)+1/60
2+2+3+4+1
2(3+1)(3^2+1)(3^3+1)(3^4+1)(3^8+1)+1
1+2-3+4+5-6+7+.+58+59-60
1-2+3-4+5-6.-58+59=?
1+2+3+4+56+57+58+59等于