若数列An:a1,a2……,an(n≥2)满足|a(k+1)-ak|=1若数列An:a1,a2,…,an(n>=2)满足|a(k+1)-ak|=1(k=1,2,…n-1),则称An为E数列.记S(An)=a1+a2+…+an.(1)写出一个E数列A5满足a1=a3=0(2)若a1=12,n=2000,证明:E数列An是递增数列
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![若数列An:a1,a2……,an(n≥2)满足|a(k+1)-ak|=1若数列An:a1,a2,…,an(n>=2)满足|a(k+1)-ak|=1(k=1,2,…n-1),则称An为E数列.记S(An)=a1+a2+…+an.(1)写出一个E数列A5满足a1=a3=0(2)若a1=12,n=2000,证明:E数列An是递增数列](/uploads/image/z/7143796-28-6.jpg?t=%E8%8B%A5%E6%95%B0%E5%88%97An%EF%BC%9Aa1%2Ca2%E2%80%A6%E2%80%A6%2Can%28n%E2%89%A52%EF%BC%89%E6%BB%A1%E8%B6%B3%7Ca%28k%2B1%29-ak%7C%3D1%E8%8B%A5%E6%95%B0%E5%88%97An%3Aa1%2Ca2%2C%E2%80%A6%2Can%28n%3E%3D2%29%E6%BB%A1%E8%B6%B3%7Ca%28k%2B1%29-ak%7C%3D1%28k%3D1%2C2%2C%E2%80%A6n-1%29%2C%E5%88%99%E7%A7%B0An%E4%B8%BAE%E6%95%B0%E5%88%97.%E8%AE%B0S%28An%29%3Da1%2Ba2%2B%E2%80%A6%2Ban.%281%29%E5%86%99%E5%87%BA%E4%B8%80%E4%B8%AAE%E6%95%B0%E5%88%97A5%E6%BB%A1%E8%B6%B3a1%3Da3%3D0%282%29%E8%8B%A5a1%3D12%2Cn%3D2000%2C%E8%AF%81%E6%98%8E%3AE%E6%95%B0%E5%88%97An%E6%98%AF%E9%80%92%E5%A2%9E%E6%95%B0%E5%88%97)
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