What Is the Next Number in the Sequence?

What number is next in the sequence below?

1 , 11 , 100 , 121 , 221 , 1100 \huge 1, 11, 100, 121, 221, 1100


The answer is 1211.

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1 solution

Marta Reece
Jun 30, 2018

The numbers are in base 3.

The sequence, converted to base 10, is: 1, 4, 9, 16, 25, 36.

The next number is 49, which in base 3 is 1211 \boxed{1211} .

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