职教组卷基于海量职教高考试题库建立的在线组卷及学习系统
职教组卷
  • 题型:解答题 题类:月考试卷 难易度:中档

    已知数列\(\{a _{n} \}\)满足\(a_{1}= \dfrac {3}{2}\),且\(a _{n+1} =λa _{n} +1(n∈N* , λ∈R\)且\(λ\neq - \dfrac {2}{3} ).\)
    \((1)λ\)为何值时,数列\(\{a _{n} +1\}\)是等比数列;
    \((2)\)若数列\(\{a _{n} +1\}\)是等比数列,求数列\(\{a _{n} \}\)的前\(n\)项和\(S _{n}\).
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