【高考】若数列{an}满足,a1=1,且a(n+1)=an/1+an,证明,数列｛1/an｝为等差数列,并求出数列{an}的通...【高考】若数列{an}满足,a1=1,且a(n+1)=an/1+an,证明,数列｛1/an｝为等差数列,并求出数列{an}的通项公式

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【高考】若数列{an}满足,a1=1,且a(n+1)=an/1+an,证明,数列｛1/an｝为等差数列,并求出数列{an}的通...【高考】若数列{an}满足,a1=1,且a(n+1)=an/1+an

【高考】若数列{an}满足,a1=1,且a(n+1)=an/1+an,证明,数列｛1/an｝为等差数列,并求出数列{an}的通...【高考】若数列{an}满足,a1=1,且a(n+1)=an/1+an,证明,数列｛1/an｝为等差数列,并求出数列{an}的通项公式
a(n+1)=an/1+an
a(n+1)(1+an)=an
a(n+1)+a(n+1)an=an 两边除a(n+1)an
1/an+1=1/a(n+1)
1/a(n+1)-1/an=1
所以数列｛1/an｝为等差数列,公差d=1
1/an=1/a1+(n-1)d=1+n-1=n
an=1/n

【高考】若数列{an}满足,a1=1,且a(n+1)=an/1+an,证明,数列｛1/an｝为等差数列,并求出数列{an}的通...【高考】若数列{an}满足,a1=1,且a(n+1)=an/1+an,证明,数列｛1/an｝为等差数列,并求出数列{an}的通项公式【高考】若数列{an}满足,a1=1,且a(n+1)=an/(1+an),设数列{bn}的前n项和为Sn,且Sn=2-bn,求{bn/an}的前...【高考】若数列{an}满足,a1=1,且a(n+1)=an/(1+an),设数列{bn}的前n项和为Sn,且Sn=2-bn,求{bn/an}的前n项和Tn 若数列an满足a1=1,且an+1=an/1+an.证明:数列1/an为等差数列,并求出数列an的通项公关于数列、等差数列的题目设数列an满足an+1=an-2且a1=241）判断an是什么数列2）若an 若数列{an}满足a1=1,a2=5且an+2=an+1-an,求a2000 数列｛an｝满足a1=1,且an=an-1+3n-2,求an 数列[An]满足An+1-An+3=0,且A1=-5.求An. 已知数列an满足an=1+2+...+n,且1/a1+1/a2+...+1/an 已知数列{an}满足An+1=2^nAn,且A1=1,则通项an 已知数列｛an｝满足an=an+1 -lg2,且a1=1,则通项公式为? 已知数列{an}满足：an+1=an+n,且a61=2002,则a1等于已知数列{an}中满足(An+1-An)(An+1+An)=16,且a1=1,an 若数列an 满足a(1+n)=1-(1/an) 且a1=2 则a2009=? 若数列{an}满足：a（n+1）=1—1/an且a1=2,则a2011等于数列an满足,a1=8且8an+1an-16an+1+2an+5=0 #高考提分#数列﹛An﹜共有11项,A1=0,A11=4,且Ak+1-Ak的绝对值等于1,k=1,2,3…10.满足这种条件的不同数列有多少个若数列{an}满足a1>0,且a(n+1)=(n/n+1)乘以an,则数列{an}是递增数列,递减数列常数列摆动数列求详解若数列{an}的项满足[(an-an-1)-3](an+an-1)=0,且a1=2,则a2005的最小值为?