Complete the given series by finding the missing term 5, 15, 45, 225, ?

Concept: In a number-series reasoning question, terms often grow by a fixed multiplier that repeats for two consecutive steps and then changes to a new fixed multiplier for the next two steps. Spotting this repeat-then-change rule lets you predict the missing term without guessing.

1. 5 × 3 = 15 — the multiplier is 3 for the first step.

2. 15 × 3 = 45 — the multiplier 3 repeats for the second step.

3. 45 × 5 = 225 — the multiplier changes to 5 for the third step.

4. 225 × 5 = 1125 — the multiplier 5 repeats for the fourth step, giving the missing term.

Cross-check: 1125 ÷ 225 = 5, matching the multiplier already used in the previous step, and 1125 ÷ 45 = 25 = 52, consistent with two consecutive ×5 steps. So, the missing term is 1125.