Find the missing term in the following number series: $100, 134, 181, 243, ?, 420$

The series increases with differences that follow a pattern: 134-100=34, 181-134=47, 243-181=62. The increments increase by 13 then 15 (34+13=47, 47+15=62). Following this pattern (+17), the next difference should be 62+17=79. So 243+79=322. Verification: 420-322=98, and 79+19=98, continuing the odd number increment pattern (13, 15, 17, 19). Option B (322) is correct.