数列an,满足﹛a1﹜=1,an=an-1 /﹙an-1 +2﹚,则使得ak>1/2009的最大正整数k为?A.5 B.7 C.8 D.10求详解
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数列an,满足﹛a1﹜=1,an=an-1 /﹙an-1 +2﹚,则使得ak>1/2009的最大正整数k为?A.5 B.7 C.8 D.10求详解
数列an,满足﹛a1﹜=1,an=an-1 /﹙an-1 +2﹚,则使得ak>1/2009的最大正整数k为?
A.5 B.7 C.8 D.10
求详解
数列an,满足﹛a1﹜=1,an=an-1 /﹙an-1 +2﹚,则使得ak>1/2009的最大正整数k为?A.5 B.7 C.8 D.10求详解
an=an-1/(an-1 +2)
anan-1+2an=an-1
1+2/an-1=1/an
2+2/an-1=1/an+1
设bn=1/an+1
bn=2bn-1
a1=1,b1=2,bn=2*2^(n-1)=2^n
an=1/(2^n-1)
2^n-1
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