Pattern analysis of the series:Series: 2, 0, 3, 2, 4, 6, 5, 12, 6, ?, 7, 30The series can be divided into two interleaved subsequences:- Subsequence 1 (odd positions: 1st, 3rd, 5th, 7th, 9th, 11th): 2, 3, 4, 5, 6, 7 - This subsequence increments by 1 at each step.- Subsequence 2 (even positions: 2nd, 4th, 6th, 8th, 10th, 12th): 0, 2, 6, 12, ?, 30 - The pattern for this subsequence is not a simple multiplication by 2. Let's re-examine.Corrected pattern for the second subsequence:- 0- 2 = 0 + 2- 6 = 2 + 4- 12 = 6 + 6- The differences are 2, 4, 6. The next difference should be 8.- Therefore, the missing number is 12 + 8 = 20.- The last term is 30. The difference between 20 and 30 is 10. This fits the pattern of adding consecutive even numbers (2, 4, 6, 8, 10).Thus, the missing number is 20.