作业帮求1/2+1/6+1/12+1/20...+1/2450的计算答案,要具体算式.
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求1/2+1/6+1/12+1/20...+1/2450的计算答案,要具体算式.
求1/2+1/6+1/12+1/20...+1/2450的计算答案,要具体算式.
求1/2+1/6+1/12+1/20...+1/2450的计算答案,要具体算式.
因为 1/2=1-1/2
1/6=1/2-1/3
1/12=1/3-1/4
...
1/2450=1/49-1/50
所以原式=1-1/2+1/2-1/3.+1/49-1/50
=1-1/50=49/50
1/2+1/6+1/12+1/20...+1/2450
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/49-1/50
=1-1/50
=49/50
1/2+1/6+1/12+1/20...+1/2450
=（1-1/2）+（1/2-1/3）+（1/3-1/4）+（1/4-1/5）+....+（1/49-1/50）
=1-1/50
=49/50
1/2+1/6+1/12+1/20...+1/2450
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/49-1/50
=1-1/50
=49/50
1/2+1/6+1/12+1/20...+1/2450
=1-1/2+1/2-1/3+1/3-1/4+……+1/49-1/50
=1-1/50=49/50