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1975 Canadian MO Problems/Problem 2

Revision as of 15:38, 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> ...")
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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


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