Find the next term of the sequence.
Hint: Look, then say!
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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.