What are the next 2 terms ?

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This sequence is called “Look and say sequence”. The sequence starts with 1 and for the next term, you need to ‘say what you see’ in the current term. i.e. how many of each numeral you see from left to right.

The fourth term is 1211. It reads as ‘one1, one 2. Two 1’.

So the fifth term is 111221.

This reads as ‘Three 1, two 2, one 1’.

So the sixth term is 312211.

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Thank you very much fir the explanation. Much appreciate this.

I have attached a pdf from the book

The Art and Craft of Problem Solvingby Paul Zeitz. Rather than the solution it gives the notion of how to tackle these kind of problems, and it is worth reading.