Question

Replace the question mark with the right option.
4, 32, 288, ?, 31680

• A. 25600
• B. 2880
• C. 7420
• D. 10000

Answer 1

The Correct Option is B

To find the right option to replace the question mark in the sequence 4, 32, 288, ?, 31680, let's analyze the given numbers:

Step 1: Observe the pattern from one number to the next.

4 to 32: Multiply by 8 (4 * 8 = 32)

32 to 288: Multiply by 9 (32 * 9 = 288)

Step 2: Determine the pattern for the next multiplication.

Continue the multiplicative pattern: Multiplying by consecutive integers.

Since we multiplied by 8, then by 9, the next number to multiply should be 10.

288 * 10 = 2880

Step 3: Verify the subsequent number fits the sequence:

2880 to 31680: Check the multiplication factor.

31680 / 2880 = 11

The pattern follows multiplication by consecutive integers: 8, 9, 10, 11.

Thus, the correct number to replace the question mark is 2880.