Consider the growth of a lilac bush. The state of this lilac bush for several years (at
Chapter 7, Problem 54(choose chapter or problem)
Consider the growth of a lilac bush. The state of this lilac bush for several years (at year's end) is shown in the accompanying sketch. Let n(t) be the number of new branches (grown in the year t) and a(t) the number of old branches. In the sketch, the new branches are represented by shorter lines. Each old branch will grow two new branches in the following year. We assume that no branches ever die.year 4yearO year 1 year 2 year 31 1 + * n(0)=l (1) = 0 n( 2) = 2 *i( 3) = 2
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