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2019 SAIMC keystage3-IWYMIC individual Question 13

xIMC · 2019 SAIMC keystage3-IWYMIC individual

Question 13

The increasing sequence $1,3,4,9,10,12,13,\ldots$ consists of all the positive integers which can be expressed as powers of $3$ or sums of distinct powers of $3$. Find the $100$th term of this sequence.

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