已知等差数列an的各项不为零,求证1/a1a2+1/a2a3+...+1/an-1an=n-1/a1an

【急】已知数列an满足1/a1a2+1/a2a3+……1/an-1an=(n-1)/a1an,求证为等差数列 已知数列{an},若1/a1a2+1/a2a3+…+1/anan-1=n/anan+1,求证{an}为等差数列. {an}为等差数列,an不等于0,d为公差,求证:1/(a1a2)+1/(a2a3)+...+1/(an-1*an)=( 数列{an}首项为2,且对任意n∈N*,都有1/a1a2+1/a2a3+...+1/anan+1=n/a1an+1,数列 已知等差数列an前n项和为Sn,Sn=n^2,求和1/(a1a2)+1/(a2a3)+.+1/[(an-1an] (n≥ 已知正项数列an的首项为1,且对任意n属于N,1/a1a2+1/a2a3+…1/anan+1=n/a1an+1,前10项 若a1,a2,..an是非零实数,且成等差数列,求证1/a1a2+1/a2a3+1/a3a4+...+1/an-1an= 等差数列an=2n+3,求和：(1／a1a2)+(1／a2a3)+.+(1／anan+1) 已知数列an为首项a1≠0,公差为d≠0的等差数列,求Sn=1/a1a2+1/a2a3+……+1/ana(n+1) 已知数列an为首项a1≠0,公差为d≠0的等差数列,求Sn=1/a1a2+1/a2a3+……+1/ana(n-1) an是首项为3,公差,公差为2的等差数列,则lim(1/a1a2+1/a2a3+……+1/a(n-1)an)= 已知数列{an}的前n项和Sn=n²+n,求和1/a1a2+1/a2a3+.+1/an-1*an+1/an*a