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5.6 Recurrence Relations of the Form Un+1 = aUn + b If you look back to Exercise 5.2 you will see that some of the sequences there were convergent, i.e. they tended to a limit; others were divergent, and did not have a limit. In this section we will look first at when a recurrence relation is convergent, then well discuss some real-life problems and see what relevance this limit has.
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