6

Problems(1)

Puerto Rico 2012 TST Problem 6

Source:

4/29/2012

The increasing sequence

1; 3; 4; 9; 10; 12; 13; 27; 28; 30; 31, \ldots

is formed with positive integers which are powers of

3

or sums of different powers of

3

. Which number is in the

100^{th}

position?

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