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Given-sequence-x-n-with-0-lt-a-x-1-lt-x-2-b-x-n-1-x-n-1-x-n-n-1-2-3-review-sequence-r-n-with-r-n-x-n-1-x-n-n-1-2-3-a-Prove-that-1-lt-r-n-lt-2-for-n-2-3-4-b-




Question Number 31705 by gunawan last updated on 12/Mar/18
Given sequence(x_n ) with 0<a=x_1 <x_2 =b  x_(n+1) =x_(n+1) +x_n  , n=1, 2, 3,...  review sequence (r_n ) with r_n =(x_(n+1) /x_n ) , n=1, 2, 3,...  a. Prove that 1<r_n <2 for n=2,3,4, ...  b. Diverge or converge is the squence?
Givensequence(xn)with0<a=x1<x2=bxn+1=xn+1+xn,n=1,2,3,reviewsequence(rn)withrn=xn+1xn,n=1,2,3,a.Provethat1<rn<2forn=2,3,4,b.Divergeorconvergeisthesquence?

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