Difference between revisions of "1986 AIME Problems/Problem 7"
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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 consists of all those positive integers which are powers of 3 or sums of distinct powers of 3. Find the term of this sequence.
Solution
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See also
1986 AIME (Problems • Answer Key • Resources) | ||
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 |