作业帮简便计算1/2+1/2x3+1/3x4+1/4x5+...+1/99x100
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/06 13:39:22
简便计算1/2+1/2x3+1/3x4+1/4x5+...+1/99x100
简便计算1/2+1/2x3+1/3x4+1/4x5+...+1/99x100
简便计算1/2+1/2x3+1/3x4+1/4x5+...+1/99x100
原式=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/99-1/100
=1-1/100
=99/100
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1/2+1/2x3+1/3x4+1/4x5+...+1/99x100
=1/1×2+1/2x3+1/3x4+1/4x5+...+1/99x100
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/99-1/100
=1-1/100
=99/100
1/2+1/2x3+1/3x4+1/4x5+...+1/99x100
= 1/2 + (1/2 - 1/3)+(1/3 - 1/4) +....... +(1/99 - 1/100)
= 1/2 +1/2 -1/3+1/3 -1/4+1/4+.......+1/99 - 1/100
= 1 - 1/100
=99/100
(*^__^* *^__^* *...
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1/2+1/2x3+1/3x4+1/4x5+...+1/99x100
= 1/2 + (1/2 - 1/3)+(1/3 - 1/4) +....... +(1/99 - 1/100)
= 1/2 +1/2 -1/3+1/3 -1/4+1/4+.......+1/99 - 1/100
= 1 - 1/100
=99/100
(*^__^* *^__^* *^__^*)
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