已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2,.求数列an的通项公式.为什么a1+2a2+2^2a3+...+2^n-1an=n/2 ①a1+2a2+2^2a3+...+2^(n-2)a(n-1)=(n-1)/2 ②①-②这样算?

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