In this paper, we obtain a closed form for FΣ_{i=1}^k, PΣ_{i=1}^k and JΣ_{i=1}^k for some positive integers k where Fr, Pr and Jr are the rth Fibonacci, Pell and Jacobsthal numbers, respectively. We also give three open problems for the general cases FΣ_{i=1}^n, PΣ_{i=1}^n and JΣ_{i=1}^n for any arbitrary positive integer n.
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Vol. 33 (2019)
Published: 2019-07-18
10.1515/amsil
English