Art of Problem Solving

1986 AIME Problems/Problem 7: Difference between revisions

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== Problem ==
== Problem ==
 
The increasing sequence <math>1,3,4,9,10,12,13\cdots</math> consists of all those positive integers which are powers of 3 or sums of distinct powers of 3. Find the <math>\displaystyle 100^{\mbox{th}}</math> term of this sequence.
== Solution ==
== Solution ==
 
{{solution}}
== See also ==
== See also ==
* [[1986 AIME Problems]]
* [[1986 AIME Problems]]


{{AIME box|year=1986|num-b=6|num-a=8}}
{{AIME box|year=1986|num-b=6|num-a=8}}

Revision as of 19:02, 10 February 2007

Problem

The increasing sequence $1,3,4,9,10,12,13\cdots$ consists of all those positive integers which are powers of 3 or sums of distinct powers of 3. Find the $\displaystyle 100^{\mbox{th}}$ term of this sequence.

Solution

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See also

1986 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions