摘要:4.已知数列{log2(an-1)}(n∈N*)为等差数列.且a1=3.a3=5.则li 等于( ) A.2 B. C.1 D. [解析] 令bn=log2(an-1).则{bn}成等差数列. b1=log22=1.b2=log24=2. 可知数列bn=log2(an-1)=1+(n-1)×1=n. ∴an=2n+1. 则an+1-an=2n+1+1-(2n+1)=2n. 即求li ==1. [答案] C
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