• anonymous
explain why a recursive rule alone does not define only one sequence
  • katieb
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  • anonymous
Suppose you have a sequence \(a_n=a_{n-1}\) for \(n\ge2\). This is clearly a constant sequence, since \(a_2=a_1\), \(a_3=a_2\), and so on. But what's \(a_1\)? We need a concrete value as our starting point in order to have a proper sequence.

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