周期性函数递推设数列｛an｝满足a1=a2=1,a3=2,且对任意正整数n都有an*an+1*an+2≠1,又an*an+1*an+2*an+3=an+an+1+an+2+an+3,求a1+a2+…a100

周期性函数递推设数列｛an｝满足a1=a2=1,a3=2,且对任意正整数n都有an*an+1*an+2≠1,又an*an+1*an+2*an+3=an+an+1+an+2+an+3,求a1+a2+…a100 周期性数列问题i已知数列｛an}满足a(n+1)=2an (0 已知函数f(X)=X/(3x+1),数列{an}满足a1=1,a(n+1)=f(an),证明数列{1/an}是等差数列 已知数列{an}满足a(n+1)=an+n,a1=1,则an= 数列{an}满足a1=a,an+1=1+1/an.若3/2 已知数列{an}满足a(n+1)=an+lg2,a1=1,求an 数列[An]满足a1=2,a（n+1）=3an-2 求an 数列{an}满足a1=2,a(n+1)=2an+n+2,求an 数列an满足a1=1,a(n+1)=an/[(2an)+1],求a2010 已知数列an满足a1=1,a(n+1)=an/(3an+1) 求数列通项公式 数列{an)满足an=4a(n-1)+3,a1=0,求数列{an}的通项公式 数列an满足an+1=根号(an^2+1)+an,a1=a>0,求an通项公式 数列{an}满足a1=2,a(n+1)=-1/(an+1),则a2010等于 数列｛an｝满足a1=3,a n+1=2an,则a4等于 已知数列{an}满足a1=1,3a(n+1)+an-7 通项公式为an=a（n^2)+n的数列{an},若满足a1 已知函数f（x）=x/（x+1）,若数列｛An｝（n属於正整数）满足A1=1,A（n+1）=f（An）(1)设bn=1/An,求证数列｛bn｝是等差数列,（2）求数列｛An｝的通向公式An（3）设数列｛Cn｝满足：Cn=2^n/An,求数列｛C 已知数列满足a1=1/2,an+1=2an/(an+1),求a1,a2已知数列满足a1=1/2,a(n+1)=2an/(an+1),求a1,a2;证明0