The sequence consists of two interleaved series. The odd-positioned terms are 3, 7, 13, 21, 31, 43. The differences between consecutive odd terms are +4, +6, +8, +10, +12. The even-positioned terms are 2, 4, 10, 18, 28, 40. The differences between consecutive even terms are +2, +6, +8, +10, +12. It appears there is a typo in the second term of the even series. Following the pattern of differences for odd terms (+4, +6, +8, +10, +12), the differences for even terms should be +2, +4, +6, +8, +10. Starting with 2, the series would be 2, 2+2=4, 4+4=8, 8+6=14, 14+8=22, 22+10=32. However, the question states that the odd terms and even terms follow the *same* pattern, which implies the differences should be identical. Let's re-examine: Odd series: 3 (+4) 7 (+6) 13 (+8) 21 (+10) 31 (+12) 43. Even series: 2 (+2) 4 (+6) 10 (+8) 18 (+10) 28 (+12) 40. The common difference pattern is +4, +6, +8, +10, +12 for odd terms. For even terms, the differences are +2, +6, +8, +10, +12. To make the even series follow the same pattern, the second term should be 2+4=6. Then the series would be 2, 6, 10, 14, 18, 22. If the second term were 6, the series would be 3, 6, 7, 10, 13, 14, 21, 18, 31, 28, 43, 40. This doesn't fit the given structure. Let's consider the relationship between odd and even terms. Odd terms: 3, 7, 13, 21, 31, 43. Even terms: 2, 4, 10, 18, 28, 40. Difference between corresponding odd and even terms: 3-2=1, 7-4=3, 13-10=3, 21-18=3, 31-28=3, 43-40=3. The first pair has a difference of 1, while the rest have a difference of 3. This implies the second term, 2, is incorrect. If it were 0, then 3-0=3. The sequence would be 3, 0, 7, 4, 13, 10, 21, 18, 31, 28, 43, 40. The differences between consecutive odd terms are +4, +6, +8, +10, +12. The differences between consecutive even terms are +4, +6, +8, +10, +12. This fits the condition that odd and even terms follow the same pattern of differences between themselves.