Abstract
In this chapter we present a thematic collection of 123 olympiad training problems, involving recurrences in various contexts. We have chosen 123 as it represents the 10th Lucas number L 10. The problems relate to topics such as linear recurrence sequences of first, second, and higher orders, classical sequences, homographic recurrent sequences, systems of recurrent sequences, and combinatorics.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Andreescu, T., Andrica, D.: 360 Problems for Mathematical Contests. GIL, Zalău (2003)
Andreescu, T., Andrica, D.: Quadratic Diophantine Equations. Developments in Mathematics. Springer, Cham (2015)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Andrica, D., Bagdasar, O. (2020). Recurrences in Olympiad Training. In: Recurrent Sequences. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-51502-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-030-51502-7_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-51501-0
Online ISBN: 978-3-030-51502-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)