you gave a child and get her garden her first grade a bunch of beads or other small objects and asked the child to show you what the three and 35 stands for the child might show you three of the beads you might be tempted to respond that the three really stands for 30 and not three of course it's true but the three dust stand for 30 but is there a better way you could respond so as to draw attention to the base 10 system how could you organize the beads to make your point

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.