Say What You See!

Level 1

Find the next term of the sequence.

1 , 11 , 21 , 1211 , 111221 , 312211 , 13112221 , 1,\ 11,\ 21,\ 1211,\ 111221,\ 312211,\ 13112221,\ \ldots

Hint: Look, then say!

1113213211 1231231231 3231213213 1322111321

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1 solution

Andrew Ellinor
Nov 2, 2015

This is the famous the look-say sequence .
In the first term, I see one 1. So "one 1" is my next term, namely 11.
In the second term, I see two 1s. So "two 1" is my next term, namely 21.
In the third term, I see one 2 followed by one 1. So "one 2 one 1" is my next term, or 1211.
In the fourth term, I see one 1, one 2, and two 1s. So "one 1 one 2 two 1" is my next term, or 111221.

This pattern continues forever. Since the last term is 13112221, we look and see that we have one 1, one 3, two 1s, three 2s, and one 1, meaning 1113213211 is our next term.

This is not a math problem.

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are you sure? or maybe its the first time you encounter this problem.......

mars solomon - 5 years, 7 months ago

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