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1/2X3X4X5+1/3X4X5X6+1/4X5X6X7......1/97X98X99X100=?
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推荐答案 推荐于2020-12-18
1/2X3X4X5+1/3X4X5X6+1/4X5X6X7......1/97X98X99X100=?
=1/3[1/2*3*4-1/3*4*5]+1/3[1/3*4*5-1/4*5*6]+1/3[1/4*5*6-1/5*6*7]+...+1/3[1/97*98*99-1/98*99*100]
=1/3[1/2*3*4-1/98*99*100]
=1/3*40424/98*99*100
=5053/3*49*99*25
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相似回答
1/
2X3X4X5+1
/
3X4X5X6+1
/
4X5X6X7.1
/
97X98X99X100=?
答:
1/
2X3X4X5+1
/
3X4X5X6+1
/
4X5X6X7.1
/
97X98X99X100=?
=1/3[1/2*3*4-1/3*4*5]+1/3[1/3*4*5-1/4*5*6]+1/3[1/4*5*6-1/5*6*7]+...+1/3[1/97*98*99-1/98*99*100]=1/3[1/2*3*4-1/98*99*100]=1/3*40424/98*99*100 =5053/3*49*99*25 ...
1x2x3x4+1=5x5
,
2x3x4x5+1=
11x11,
3x4x5x6+1=
19x19.第5个式子是?_百度知 ...
答:
4*5*6*7
+1=
29*29 望采纳
1/
1x2x3+1
/
2x3x4
+1/
3x4x5+1
/
4x5x6+
.+1/
8x
9x10 等于多少?急!
答:
请1/
1x
2x3+1/2x3x4+1/
3x4x5+1
/
4x5x6
= =1/2×(1/1×2-1/2×3+1/2×3-1/3×4+1/3×4-1/4×5+1/4×5-1/5×6) =1/2×(1/1×2-1/5×6) =7/30 1/1x2x3+1/
2x3x4+1
/3x4x5+...+1/9x10x11= 1/n(n+1)(n+2)=1/2*[1/n-2/(n+1)+1/(n+...
1X2X3X4+1=
25
=5
²
;2x3x4x5x6+1=
121=11²
;3x4x5x6x7+1=
361=19²...
答:
(n²+5n+5)²
1
除以2乘3乘4乘5加上1除以3乘4乘5乘6一直加到1除以1除以
97
乘98乘...
答:
1/
2X3X4X5+1
/
3X4X5X6+1
/
4X5X6X7
...1/
97X98X99X100=?
=1/3[1/2*3*4-1/3*4*5]+1/3[1/3*4*5-1/4*5*6]+1/3[1/4*5*6-1/5*6*7]+...+1/3[1/97*98*99-1/98*99*100]=1/3[1/2*3*4-1/98*99*100]=1/3*40424/98*99*100 =5053/3*49*99*25 ...
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