已知数列{an}满足a1=1,a(n+1)=2an+1(n∈N*).证明1/a2+1/a3+1/a4+.+1/an+1

已知数列{an}满足a1=1,a(n+1)=2an+1(n∈N*).证明1/a2+1/a3+1/a4+.+1/an+1 已知数列{an}满足a1+a2+a3+...+an=n^2+2n.(1)求a1,a2,a3,a4 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 已知数列(an)满足a1=1,an+1=2an/an+2(n∈N*) 求a2,a3,a4,a5 猜想数列(an)的通项公 已知数列｛an｝满足：a1=1,且an-a（n-1）=2n.求a2,a3,a4.求数列｛an｝通项an 已知数列an满足a1=1,an=a1+2a2+3a3+4a4+.(n-1)a(n-1),求通项an 已知数列An满足A1=1,An=3^(n-1)+A(n-1)(n=>2).(1)求A2,A3;(2)证明An（3^n-1 已知{an}满足a1=1,an+1=an/an+2(n属於N*) (1)求a2 a3 a4 (2)猜想数列{an}的通项 已知数列{an}满足:a1=1,且an-an-1=2n,求(1)a2,a3,a4.(2)求数列{an}的通项an 已知数列{an}满足a1=1,an=a1 +1/2a2 +1/3a3 … +1/(n-1)a(n-1),(n>1,n∈N 已知数列{an}满足a1=1;an=a1+2a2+3a3+...+(n-1)a(n-1); 已知数列{An}满足A1=0.5,A1+A2+…+An=n^2An(n∈N*),试用数学归纳法证明:An=1/n(n+1