规定x@y=x(x+1)(x+2)...(x+y-1),如2@4=234*5.已知n+1/n@3=1/575

学习时间:2026-06-04 08:44:48 阅读：716

规定x@y=x*(x+1)*(x+2)*...*(x+y-1),如2@4=2*3*4*5.已知n+1/n@3=1/575,求自然数n.还要用文字解释说明一下

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2026-06-04 08:44:48

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n@3=n(n+1)(n+2)
n+1/n@3=1/575
n+1/[n(n+1)(n+2)]得
1/n(n+2)=1/575
n^2+2n-575=0
n=23