(1+1/1x3)(1+1/2x4)(1+1/3x5)(1+1/4x6)x..x(1+1/97x99)(1+1/98x100)=?怎么解答
答案:2 悬赏:80 手机版
解决时间 2021-04-04 17:30
- 提问者网友：爱唱彩虹
- 2021-04-03 22:34
(1+1/1x3)(1+1/2x4)(1+1/3x5)(1+1/4x6)x..x(1+1/97x99)(1+1/98x100)=?怎么解答
最佳答案
- 五星知识达人网友：青尢
- 2021-04-03 22:54
(4/1×3)(9/2×4)(16/3×5)(25/4×6)……(9801/98×100)
=(2??×3??×4??×5??×……×99??)/(2×4×3×5×4×6×……×97×99×98×100)
=(2×3×4×...×99)/(2×3×4×...×98) × (2×3×4...×99)/(4×5×6...×100)
=99×(2×3)/100
=297/50
=(2??×3??×4??×5??×……×99??)/(2×4×3×5×4×6×……×97×99×98×100)
=(2×3×4×...×99)/(2×3×4×...×98) × (2×3×4...×99)/(4×5×6...×100)
=99×(2×3)/100
=297/50
全部回答
- 1楼网友：患得患失的劫
- 2021-04-04 00:20
(1+1/1x3)(1+1/2x4)(1+1/3x5)(1+1/4x6)x..x(1+1/97x99)(1+1/98x100)
=4/1×6/2×8/3×10/4×……×196/97×198/98
=2的97次方×198
=2的98次方×99
绝对正确
=4/1×6/2×8/3×10/4×……×196/97×198/98
=2的97次方×198
=2的98次方×99
绝对正确
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