已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2(1).求数列an的通项公式.(2)设bn=(2n-1)an,求数列bn的...已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2(1).求数列an的通项公式.(2)设bn=(2n-1)an,求数列bn的前n项和sn
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![已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2(1).求数列an的通项公式.(2)设bn=(2n-1)an,求数列bn的...已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2(1).求数列an的通项公式.(2)设bn=(2n-1)an,求数列bn的前n项和sn](/uploads/image/z/1741141-37-1.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97an%E6%BB%A1%E8%B6%B3a1%2B2a2%2B2%5E2a3%2B...%2B2%5En-1an%3Dn%2F2%281%29.%E6%B1%82%E6%95%B0%E5%88%97an%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F.%EF%BC%882%EF%BC%89%E8%AE%BEbn%3D%282n-1%29an%2C%E6%B1%82%E6%95%B0%E5%88%97bn%E7%9A%84...%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97an%E6%BB%A1%E8%B6%B3a1%2B2a2%2B2%5E2a3%2B...%2B2%5En-1an%3Dn%2F2%281%29.%E6%B1%82%E6%95%B0%E5%88%97an%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F.%EF%BC%882%EF%BC%89%E8%AE%BEbn%3D%282n-1%29an%2C%E6%B1%82%E6%95%B0%E5%88%97bn%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8Csn)
已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2(1).求数列an的通项公式.(2)设bn=(2n-1)an,求数列bn的...已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2(1).求数列an的通项公式.(2)设bn=(2n-1)an,求数列bn的前n项和sn
已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2(1).求数列an的通项公式.(2)设bn=(2n-1)an,求数列bn的...
已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2(1).求数列an的通项公式.(2)设bn=(2n-1)an,求数列bn的前n项和sn
已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2(1).求数列an的通项公式.(2)设bn=(2n-1)an,求数列bn的...已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2(1).求数列an的通项公式.(2)设bn=(2n-1)an,求数列bn的前n项和sn
1)a1+2a2+...+2^n-1an=n/2(1)
a1+2a2+...+2^n-2a(n-1)=(n-1)/2(2)
(1)-(2):2^(n-1)an=1/2
an=1/2^n
2)Tn=1/2+…+(2n-1)/2^n
Tn/2=1/2^2+…+(2n-1)/2^(n+1)
两式相减乘2:
Tn=4-1/2(n-2)-1-(2n-1)/2^n
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