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#b7e33fff-b07f-42bd-a6d5-7b83a5bb57b2基础解答题等比数列的概念与通项数列

27.已知等比数列{an}\{a_{n}\}的各项均为正数,前nn项和为SnS_{n},若a2=a1+a12a_{2}=a_{1}+a_{1}^{2},证明:数列{Sn+1}\{S_{n}+1\}是等比数列.