230问答网 > (1+1⼀1×3)*(1+1⼀2×4)*(1+1⼀3×5)*(1+1⼀4*6)……(1+1⼀98*100)*(1+1⼀99*101)

(1+1⼀1×3)(1+1⼀2×4)(1+1⼀3×5)(1+1⼀46)……(1+1⼀98100)(1+1⼀99*101)

2024-12-20 09:51:23

推荐回答（2个）

回答1：

提示:(1+1/1×3)*(1+1/2×4)*(1+1/3×5)*(1+1/4*6)……(1+1/98*100)*(1+1/99*101)
=99+(1/1×3)*(1/2×4)*(1/3×5)*(1/4*6)……(1/98*100)*(1/99*101)
=99+(1/2)*(1-1/3+1/2-1/4+1/3-1/5+...+1/98-1/100+1/99-1/101)
=99+(1/2)*(1+1/2-1/100-1/101)
=...

回答2：

=(2*2/1*3)*(3*3/2*4)*(4*4/3*5)*(5*5/4*6)*……*(99*99/98*100)*(100*100/99*101)
=2*2*3*4*5*……*99*100/1*2*3*4*……*99*101
=2*100/101
=200/101