设数列a1,a2,…,an,满足a1=a2=1,a3=2,且对任何自然数n,都有anan+1an+2≠1,又anan+1an+2an+3=an+an+1+an+2+an+3,则a1+a2+…+a100的值是_________________.

设数列{an}满足：a1+a2/2+a3/3+a4/4……+an/n=An+B,其中A、B为常数.数列{an}是否为等差数列? 设数列{an}满足lg(1+a1+a2+...+an)=n+1,求通项公式an 设数列AN满足A1等于1,3(A1+a2+~+AN)=(n+2)an,求通向公式 已知数列{an}中满足a1=1,a(n+1)=2an+1 (n∈N*),证明a1/a2+a2/a3+…+an/a(n+1) (1)数列{an}中,a1=1,a2=-3,a(n+1)=an+a(n+2),则a2005=____(2)已知数列｛an｝满足a1=1,a1×a2×a3…an=n^2,求an. 设数列{an}满足：存在正数M,对一切n有An=|a2-a1|+|a3-a2|+-----+|an-a(n-1)| 数列an满足a1=1/2,a1+a2+a3……an=n^2an,则an 设数列{an}满足;a1+a2/2+a3/3+...+an/n=n^2-2n-2,求数列{an}的通项公式（a1,a2,a3...an中a后面都是下标） 数列{An}满足a1=1/2,a1+a2+..+an=n方an,求an 若数列{an}满足a1=1,且1/[a(n+1)]-1/an=1,则a1*a2+a2*a3+…+a2010*a2011=? 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 设函数f(x)=1/x,数列an满足：a1=a不等于0,且对于任意的正整数n都有an+1=f(an^2),则a1*a2…*a10= 设数列an满足a1+3a2+3²a3+…+3^n-1(an)=n/3,求数列an的通项公式 设数列{An}满足A1+3A2+3²A3+…+3n-1An=3/n.(1)求数列{An}的通项. 设正数列a0,a1,a2,…,an,…满足 (n≥2)且a0=a1=1.求{an}的通项公式.设正数列a0,a1,a2,…,an,…满足 (n≥2)且a0＝a1＝1．1.证明√（an/an-1)成等差数列2.求{an}的通项公式． 设数列an满足a1+3a2+3^2a3+……+3^(n-1)an=n/3,a是正整数,设bn=n/an,求数列bn的前n项和 设a1,a2,……,an(n>=2)是正实数,且满足a1+a2+……+an 1.数列{An}中,A1=8,A4=2且满足A（n+20)=2A(n+1)-An 问(1）求数列{An}的通项公式 （2）设Sn=|A1|+|A2|+……+|An|,求Sn2.数列{An}满足A1=2,对于任意的n∈N都有An>0,且(n+1)An^2+An×A(n+1)-nA(n+1)=0,又知数列{Bn}的通项公