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1/2+1/6+1/12+1/20,1/2352+1/2450
题目详情
1/2+1/6+1/12+1/20,1/2352+1/2450
▼优质解答
答案和解析
1/2+1/6+1/12+1/20+……+1/2352+1/2450
=1/(1×2)+1/(2×3)+1/(3×4)+1/(4×5)+……+1/(48×49)+1/(49×50)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/48-1/49+1/49-1/50
=1-1/50
=49/50
明白请采纳,
有新问题请求助,
=1/(1×2)+1/(2×3)+1/(3×4)+1/(4×5)+……+1/(48×49)+1/(49×50)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/48-1/49+1/49-1/50
=1-1/50
=49/50
明白请采纳,
有新问题请求助,
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