,
Rafael Jakimczuk
In this note, we establish some general results for two fundamental recursive sequences that are the basis of many well-known recursive sequences, as the Fibonacci sequence, Lucas sequence, Pell sequence, Pell-Lucas sequence, etc. We establish some general limit formulas, where the product of the first n terms of these sequences appears. Furthermore, we prove some general limits that connect these sequences to the number e (≈2:71828...).
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Vol. 35 No. 2 (2021)
Published: 2021-09-10
10.2478/amsil
English