Difference between revisions of "1975 Canadian MO Problems/Problem 2"

Revision as of 15:43, 4 August 2016

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 $a_n\quad(n\ge1).$

None yet!

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

Revision as of 15:38, 4 August 2016 (view source) 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> ...")		Revision as of 15:43, 4 August 2016 (view source) Memc38123 (talk \| contribs) Newer edit →
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	None yet!		None yet!

−	{{Old CanadaMO box\|~~before~~=~~First question~~\|num-a=2\|year=1975}}	+	{{Old CanadaMO box\|num-b=1\|num-a=3\|year=1975}}