Notes on Jacobsthal and Jacobsthal-like Sequences

Lexter R. Natividad

doi:https://doi.org/10.14445/22315373/IJMTT-V34P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 34 | Number 2 | Year 2016 | Article Id. IJMTT-V34P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V34P519

Notes on Jacobsthal and Jacobsthal-like Sequences

Lexter R. Natividad

Abstract

In this paper, new properties of Jacobsthal and Jacobsthal-like sequences were derived using the method in [1]. Formulas for finding the nth term of these sequences and solving Jacobsthal mean were presented.

Keywords

Jacobsthal sequence, Jacobsthal-like sequence, induction, Jacobsthal mean, missing term

References

[1] L.R. Natividad. “Deriving Formula in solving Fibonaccilike sequences,” International Journal of Mathematics and Scientific Computing, vol. 1(1), pp. 9-11, 2011.
[2] Eric W. Weisstein. “Jacobsthal Number.” From MathWorld—A Wolfram Web Resource.
http://mathworld.wolfram.com/JacobsthalNumber.html [3] A.F. Horadam. “Jacobsthal Representation Numbers,” Fibonacci Quarterly, vol. 34, pp. 40-54, 1996.
[4] L.R. Natividad. “On Solving Pell Means,” International Journal of Mathematical Archive, vol. 2(12), pp. 2736- 2739, 2011.
[5] L.R. Natividad and P.B. Policarpio. “A Novel Formula in Solving Tribonacci-like Sequences,” General Mathematics Notes, vol. 17(1), pp. 82-87, 2013.
[6] L.R. Natividad. “On Solving Fibonacci-like Sequences of Fourth, Fifth, and Sixth Order,” International Journal of Mathematics and Scientific Computing, vol. 3(2), pp. 38-40, 2013.

Citation :

Lexter R. Natividad, "Notes on Jacobsthal and Jacobsthal-like Sequences," International Journal of Mathematics Trends and Technology (IJMTT), vol. 34, no. 2, pp. 115-117, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V34P519