(1+1⼀2)*(1+1⼀3)*(1+1⼀4)*……*(1+1⼀n)=?

(1+1/2)*(1+1/3)*(1+1/4)*(1+1/n)=?
2025-04-14 08:46:14
推荐回答(2个)
回答1:

(1+ 1/2)(1+ 1/3)(1+ 1/4)...(1+ 1/n)
=(3/2)(4/3)(5/4)...[(n+1)/n]
=[3·4·5·...·(n+1)]/(2·3·4·...·n)
=(n+1)/2

回答2:

(1+1/2)*(1+1/3)*(1+1/4)*……*(1+1/n)
=(3/2)(4/3)(5/4)......[(n+1)/n]
=(n+1)/2