In the following question, select the missing number from the given series. 4,…

Concept: In a ‘multiply-and-add’ number series, each term is produced from the previous term by a fixed multiplier, plus an extra term that itself increases by a constant step at every transition. The rule is confirmed by checking that it holds consistently across every given consecutive pair before it is extended to find the missing term.

Working:

1. 4 × 3 = 12, and 12 + 1 = 13

2. 13 × 3 = 39, and 39 + 2 = 41

3. 41 × 3 = 123, and 123 + 3 = 126

4. 126 × 3 = 378, and 378 + 4 = 382

5. 382 × 3 = 1146, and 1146 + 5 = 1151

Cross-check: Reversing the last step confirms the rule: (1151 − 5) ÷ 3 = 1146 ÷ 3 = 382, exactly the given term, so the same ×3-then-add-growing-increment rule holds across all five transitions without exception.

Answer: Hence, the missing number in the series is 1151.