Scopus: Some Addition Formulas for Fibonacci, Pell and Jacobsthal Numbers
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In this paper, we obtain a closed form for FΣi=1k, PΣi=1k and JΣi=1k 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 FΣi=1n, PΣi=1n and JΣi=1n for any arbitrary positive integer n.