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由題意:Sn=12+24+38+416+…+n2n,則2Sn=1+12+34+48+516+…+n2n−1,∴2Sn-Sn=1+14+18+…+12n−1-12n,∴Sn=1+12-12n<2,所以Sn<2.故答案為:Sn<2.
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