已知数列{an}满足a0=1,an=a0+a1+...+a(n-1),(n≥1),则当n≥1时,an=_A.2^n B.n(n+1)/2 c.2^(n-1) D.2^n-1
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![已知数列{an}满足a0=1,an=a0+a1+...+a(n-1),(n≥1),则当n≥1时,an=_A.2^n B.n(n+1)/2 c.2^(n-1) D.2^n-1](/uploads/image/z/2719072-64-2.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%7Ban%7D%E6%BB%A1%E8%B6%B3a0%3D1%2Can%3Da0%2Ba1%2B...%2Ba%28n-1%29%2C%28n%E2%89%A51%29%2C%E5%88%99%E5%BD%93n%E2%89%A51%E6%97%B6%2Can%3D_A.2%5En+B.n%28n%2B1%29%2F2+c.2%5E%28n-1%29+D.2%5En-1)
已知数列{an}满足a0=1,an=a0+a1+...+a(n-1),(n≥1),则当n≥1时,an=_A.2^n B.n(n+1)/2 c.2^(n-1) D.2^n-1
已知数列{an}满足a0=1,an=a0+a1+...+a(n-1),(n≥1),则当n≥1时,an=_
A.2^n B.n(n+1)/2 c.2^(n-1) D.2^n-1
已知数列{an}满足a0=1,an=a0+a1+...+a(n-1),(n≥1),则当n≥1时,an=_A.2^n B.n(n+1)/2 c.2^(n-1) D.2^n-1
a1=a0=1
a2=a1+a0=2 a2=2a1
a3=a2+a1+a0=2a2
a4=2a3
.
an=2a(n-1)=2^2a(n-2)=2^(n-1)a1=2^(n-1)
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