已知各项均为正数的数列{a n }的首项a 1 =1,且log 2 a n+1 =log 2 a n +1, 数列{b n -a n }是等差数列,首项为1,公差为2,其中n∈N * . (1)求数列{a n }的通项公式; (2)求数列{b n }的前n项和S n .
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