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FM Appreciation

1.1 Recurrence Relations and Sequences

Sequence

A list of numbers written down in succession.

Terms of a Sequence

The terms of a sequence can be identified by their term numbers.

The initial term or 0th term is A_{0}; The first term is A_{1};The second term is A_{2}.

A_{0}, A_{1}, A_{2}

The 𝑛th term is 𝑒; The term before the 𝑛th term is 𝑒; The term after the 𝑛th term is 𝑒.

A_{n-1}, A_{n}, A_{n+1}

Any letter, not just A, can represent the terms of a sequence.

Recurrence Relations

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