Concept:The series lists odd numbers excluding multiples of 3.Explanation:The given numbers: 7,11,13,17,19,23,25,29 are all odd and none are divisible by 3.The next odd number after 29 is 31 (since 30 is even, 31 is odd and 31÷3 leaves remainder 1).33 is a multiple of 3, so it is not part of the pattern.Thus, the next number is 31.Answer:31