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1+1/3+1/6+1/10+1/4950
写错了应该是1+1/3+1/6+1/10+......+1/4950.
人气:148 ℃ 时间:2020-10-01 16:07:00
解答
1+1/3+1/6+1/10+1/4950
=1+1/2+1/10+1/4950
=1+6/10+1/4950
=1+2971/4950
=1又2971/49501/3到哪去了?1+1/3+1/6+1/10+1/15+......+1/4950 =2×(1/6+1/12+1/20+1/30+……+1/9900)+1=2×(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+……+1/99-1/100)+1=2×(1/2-1/100)+1=1-1/50+1 =1又49/50上面1/3+1/6=1/2
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