摘要:7.在数列{an}.{bn}中.bn是an与an+1的等差中项.a1=2.且对任意n∈N?.都有3an+1-an=0.则{bn}的通项公式bn= . [解析] 由已知得{an}是以2为首项.以为公比的等比数列. ∴an=2·n-1.an+1=2·n. ∴2bn=an+an+1=2·n-1+2·n. ∴bn=·n-1. [答案] ·n-1
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