题目

已知数列{an}满足a0=1,an=a0+a1+…+an-1(n≥1),则当n≥1时,an等于(    )A.2n                B.n(n+1)           C.2n-1               D.2n-1 答案：解析:a0=1,a1=a0=1,a2=a0+a1=2a1=2,a3=a0+a1+a2=2a2=4,a4=a0+a1+a2+a3=2a3=8,…,猜想当n≥1时,an=2n-1.答案:C

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