Select the number from among the given options that can replace the question mark (?) in the following series.
5, 5, 15, 75, ?, 4725
- A325
- B385
- C150
- D525
Solution & Step-by-step Explanation
Let's evaluate the mathematical operations between consecutive terms in the series:
5×1=5
5×3=15
15×5=75
The multipliers are consecutive odd numbers: 1,3,5,…
The next multiplier must be 7:
75×7=525
Let's double-check by applying the next consecutive odd number (9) to 525:
525×9=4725
This matches the final term perfectly. Hence, the missing number is 525.
5×1=5
5×3=15
15×5=75
The multipliers are consecutive odd numbers: 1,3,5,…
The next multiplier must be 7:
75×7=525
Let's double-check by applying the next consecutive odd number (9) to 525:
525×9=4725
This matches the final term perfectly. Hence, the missing number is 525.