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December 6, 2021 3:24 pm 30 pts
118. Let a and b be real numbers and let (a,)be the sequence recursively defined by a,a-ha,-5la+a,a) for n2 2. Is the sequence (a) convergent? If the answer is yes then find its limit. (Him: Note that a (3-a1) for all kz1 .. (1ISc 2003) 119. Let aelR, a> 0 and let the sequence (K)a Y) are defined recursiverly by %a XY=2°(x,-1) fon all neN Find lim y,. (1ISc 2003) n
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q 118