# 2016Fall-MATH243-03-Liu.J00770722.HW_Sec_9.1-9.2 - Garry...

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Garry Geslin2016Fall-MATH243-03-LiuAssignment HWSec9.1-9.2 due 08/31/2016 at 11:59pm CDT1.(1 point) Supposea1=12-12,a2=23-13,a3=34-14,a4=45-15,a5=56-16.a) Find an explicit formula foran:.b) Determine whether the sequence is convergent or diver-gent:.(Enter ”convergent” or ”divergent” as appropriate.)c) If it converges, find limnan=.Answer(s) submitted:n/((1+n)-(1/(1+n)))convergent1(correct)2.(1 point)Sequences:A sequence is of the forma1,a2,a3,a4,...where theanare real numbers.Technically, a sequence is afunction whose domain is the set of natural numbers, and whoserange is a subset of the real numbers. Sequences may be definedin various ways:Bylisting, and appealing (via the three dots) to your intuition.Suppose the sequence is12,25,310,417,526,637,...Then then-th term isan=.Explicitly.For example, supposean=nn. Thena1=,a2=, anda3=.Recursively.For example, theFibonacci Sequenceis definedbya1=a2=1,an+1=an+an-1,n=2,3,4,....

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Math, lim, Highways in Croatia, Fibonacci number
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