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

1975 Canadian MO Problems/Problem 2

Revision as of 16:38, 4 August 2016 by Memc38123 (talk | contribs) (Created page with "== Problem 2 == A sequence of numbers <math>a_1, a_2, a_3, \dots</math> satisfies <div class=ol> <div class=li><span class=num>(i)</span> <math>a_1 = \frac{1}{2}</math></div> ...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem 2

A sequence of numbers $a_1, a_2, a_3, \dots$ satisfies

(i) $a_1 = \frac{1}{2}$
(ii) $a_1+a_2+\cdots+a_n=n^2a_n\quad(n\ge1).$

Determine the value of $a_n\quad(n\ge1).$

Solution

None yet!

1975 Canadian MO (Problems)
Preceded by
First question 		1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • Followed by
Problem 2


Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1975_Canadian_MO_Problems/Problem_2&oldid=79841"