设函数f(x)=1/x,数列an满足:a1=a不等于0,且对于任意的正整数n都有an+1=f(an^2),则a1*a2…
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设函数f(x)=1/x,数列an满足:a1=a不等于0,且对于任意的正整数n都有an+1=f(an^2),则a1*a2…*a10=
![设函数f(x)=1/x,数列an满足:a1=a不等于0,且对于任意的正整数n都有an+1=f(an^2),则a1*a2…](/uploads/image/z/6414536-56-6.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3D1%2Fx%2C%E6%95%B0%E5%88%97an%E6%BB%A1%E8%B6%B3%EF%BC%9Aa1%3Da%E4%B8%8D%E7%AD%89%E4%BA%8E0%2C%E4%B8%94%E5%AF%B9%E4%BA%8E%E4%BB%BB%E6%84%8F%E7%9A%84%E6%AD%A3%E6%95%B4%E6%95%B0n%E9%83%BD%E6%9C%89an%2B1%3Df%28an%5E2%29%2C%E5%88%99a1%2Aa2%E2%80%A6)
a1=a
a2=1/a^2
a3=a^4
a4=1/a^8
……
a1*a2…*a10=1/a(1+2^2+2^4+2^6+2^8)=1/a^341
a2=1/a^2
a3=a^4
a4=1/a^8
……
a1*a2…*a10=1/a(1+2^2+2^4+2^6+2^8)=1/a^341
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