Solved: In 3840, we smooth a sequence, s1, s2, s3,..., byreplacing each term sn by tn

Chapter 9, Problem 39

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In 3840, we smooth a sequence, s1, s2, s3,..., byreplacing each term sn by tn, the average of sn with its neighboringtermstn = (sn1 + sn + sn+1)3 for n > 1.Start with t1 = (s1 + s2)/2, since s1 has only one neighbor.Smooth the given sequence once and then smooth the resultingsequence. What do you notice?0, 0, 0, 18, 0, 0, 0, 0 ...

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