Q. Find the next number in the sequence 17, 17, 51, 255, 1785

The correct answer is (A) 16065

Explanation:

To determine the next number in the sequence 17, 17, 51, 255, 1785, let’s analyze the pattern:

1. First to Second Term: 17 to 17 is multiplied by 1.
2. Second to Third Term: 17 × 3 = 51.
3. Third to Fourth Term: 51 × 5 = 255.
4. Fourth to Fifth Term: 255 × 7 = 1785.

Observing the pattern, the multipliers are consecutive odd numbers: 1, 3, 5, 7. Following this pattern, the next multiplier should be 9.

5. Fifth to Sixth Term: 1785 × 9 = 16065.