运用平方差公式,计算(1-1⼀2的平方)(1-1⼀3的平方)(1-1⼀4的平方)……(1-1⼀10的平方)

2024-12-03 20:59:28
推荐回答(2个)
回答1:

=(1-1/2)(1+1/2)(1-1/3)(1+1/3)...(1-1/n)(1+1/n)
=1/2*3/2*2/3*4/3*...*(n-1)/n*(n+1)/n
=1/2*(n+1)/n
=(n+1)/2n
=11/20

回答2: