Question

Right the next two numbers in the series.

1, 11, 21, 1112, 3112, 211213, 312213, 212223, ..... , ......

Answer 1

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1, 11, 21, 1112, 3112, 211213, 312213, 212223, ..... , ......

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The Next Number is always combination of frequency of each digit and the digit in the previous number.
Each No. is taken in the ascending order.

In the series,
1st No. = 1
2nd No. = one 1 = 11
3rd No. = Two 1 = 21
4th No. = one 1 one 2 = 1112
5th No. = Three 1 one 2 = 3112
6th No. = two 1 one 2 one 3 = 211213
7th No. = three 1 two 2 one 3 = 312213
8th No. = Two 1 Two 2 two 3 = 212223

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Answer 2

the next number in the series is 312213 and 21 22 23