Number series – add consecutive odd multiples of 11 (i.e., +11, +33, +55, +77, +99): 27, 38, 71, 126, 203, ?

Introduction / Context:A neat additive pattern uses consecutive odd multiples of 11 as increments. This quickly yields a predictable next step.

Given Data / Assumptions:

• Differences: 38−27=11, 71−38=33, 126−71=55, 203−126=77.

Concept / Approach:Odd multiples of 11: 1×11, 3×11, 5×11, 7×11 → next is 9×11=99. Add 99 to 203.

Step-by-Step Solution:

Verification / Alternative check:The +22 step in the odd multiples (11, 33, 55, 77, 99) confirms the rule.

Why Other Options Are Wrong:

Common Pitfalls:Looking for quadratic differences; the simple 11-based ladder is exact through the first four gaps.

Final Answer:301