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FUNDAMENTALS

This Appendix presents the fundamental symbols, definitions, and facts needed to pursue the essence of the theory of Fibonacci and Lucas numbers. For convenience, we have omitted examples and all proofs [369].

SEQUENCES

The sequence cA.1-math-001 is denoted by cA.1-math-002 or simply cA.1-math-003 when there is no possibility of confusion. The cA.1-math-004th term cA.1-math-005 is the general term of the sequence. Sequences can be classified as finite or infinite, as the next definition shows.

A sequence is finite if its domain is finite; otherwise, it is infinite.

SUMMATION AND PRODUCT NOTATIONS

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The variable cA.1-math-006 is the summation index. The values and are the lower and upper limits of the index . The “” above the is often omitted; in ...

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