Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1992 OIM Problems/Problem 4

Revision as of 13:02, 13 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Let <math>(a_n)</math> and <math>(b_n)</math> be two sequences of integers that verify the following conditions: i. <math>a_0 = 0</math>, <math>b_0 = 8</math>...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Let $(a_n)$ and $(b_n)$ be two sequences of integers that verify the following conditions:

i. $a_0 = 0$, $b_0 = 8$

ii. $a_1 = 2$

iii. $a_n$ is a perfect square for all $n$

NOTE: my source made an error here and the text after the conditions is a problem from the previous year. It's a mistake in my source below. Therefore, this problem statement is incomplete. If you can find the source for this problem please correct it and complete it

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

https://www.oma.org.ar/enunciados/ibe7.htm

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1992_OIM_Problems/Problem_4&oldid=207042"