已知数列{an}满足a1=1,an+1*an=2的n次方,则S2012=?
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已知数列{an}满足a1=1,an+1*an=2的n次方,则S2012=?
![已知数列{an}满足a1=1,an+1*an=2的n次方,则S2012=?](/uploads/image/z/13790358-54-8.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%7Ban%7D%E6%BB%A1%E8%B6%B3a1%3D1%2Can%2B1%2Aan%3D2%E7%9A%84n%E6%AC%A1%E6%96%B9%2C%E5%88%99S2012%3D%3F)
奇数项偶数项分别成等比,奇数项首项1,公比2,共有1006项,S=2^1006-1 偶数项首项2,公比2,共1006项(和刚好是奇数项2倍),所以S=3X2^1006-3
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