Sequence that you might wonder what the answer is...

Logic Level 1

9 , 19 , 1119 , 3119 , 132119 , 1113122119 , 311311222119 , 13211321322119 , . . . \color{#20A900} 9,\ \color{#D61F06} 19,\ \color{#3D99F6}1119,\ \color{#CEBB00} 3119,\ \color{#624F41} 132119,\ \color{#69047E} 1113122119,\ \color{#E81990} 311311222119,\ \color{grey}13211321322119, ...

What is the next term?


The answer is 1113122113121113222119.

B D by B D , 16, Bulgaria

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2 solutions

Henry U
Nov 26, 2018

The sequence is generated in the same way as the so called look-and-say-sequence . For every new term, you go through the previous number and look, which numbers occur and how often.

For example, to get from 3119 to 132119 you read 3119 as "one 3, two 1s, one 9" and then write "13,21,19" which is written as 132119.

In the same way, 13211321322119 is read as "11, 13, 12, 21, 13, 12, 11, 13, 22, 21, 19" and then written as 11131221131211132219 .

2 Helpful 1 Interesting 0 Brilliant 0 Confused
B D
Nov 28, 2018

It is like the Look and say Conway sequence's rule, but only starting with 9.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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