What should come in place of question mark ‘?’ in the following number series? 00012, ?, 13103112, 11131110132112, 311331101113122112

What should come in place of question mark ‘?’ in the following number series? 00012, ?, 13103112, 11131110132112, 311331101113122112 Correct Answer 301112

This is the popular say-series. Each new term is obtained by 'speaking out' the number of times each number occurs. Like 1122 has 2 1s and 2 2s. → Next term is 2122.

00012 ≡ 3-0's 1-1's 1-2's ≡ 301112

301112 ≡ 1-3's 1-0's 3-1's 1-2's ≡ 13103112

13103112 ≡ 1-1's 1-3's 1-1's 1-0's 1-3's 2-1's 1-2's ≡ 11131110132112

11131110132112 ≡ 3-1's 1-3's 3-1's 1-0's 1-1's 1-3's 1-2's 2-1's 1-2's ≡ 311331101113122112

∴ The missing term is 301112 & correct alternative is 3.

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