International Journal of Mathematics Trends and Technology, 2014
When introducing sequences to students, the first skill we teach them is how to predict the next ... more When introducing sequences to students, the first skill we teach them is how to predict the next term of a sequence given the first few terms, usually the first three, four or five terms. In this note, we intend to show that given some terms of a sequence, the next term is not uniquely determined in most cases. We will also show under which condition can the next term be determined uniquely.
International Journal of Mathematics Trends and Technology, 2014
When introducing sequences to students, the first skill we teach them is how to predict the next ... more When introducing sequences to students, the first skill we teach them is how to predict the next term of a sequence given the first few terms, usually the first three, four or five terms. In this note, we intend to show that given some terms of a sequence, the next term is not uniquely determined in most cases. We will also show under which condition can the next term be determined uniquely.
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