Finding the Pattern

To find the next number in the series, we need to look for a pattern in the given numbers. Let's examine the given series more closely.

- The first number is 6.
- To get the second number, we multiply the first number by 2: 6 x 2 = 12.
- To get the third number, we multiply the second number by 4: 12 x 4 = 48.
- To get the fourth number, we multiply the third number by 8: 48 x 8 = 384.
- To get the fifth number, we multiply the fourth number by 16: 384 x 16 = 6144.
- The sixth number is not given in the question.

So, we can see that each number in the series is obtained by multiplying the previous number by a power of 2:

- The first number is multiplied by 2^1 = 2.
- The second number is multiplied by 2^2 = 4.
- The third number is multiplied by 2^3 = 8.
- The fourth number is multiplied by 2^4 = 16.
- The fifth number is multiplied by 2^5 = 32.

Predicting the Next Number

To predict the next number in the series, we need to apply the same pattern:

- The fifth number is 6144.
- To get the sixth number, we multiply the fifth number by 2^6 = 64: 6144 x 64 = 393216.

Therefore, the next number in the series should be 393216.

Answer: Option A (9636) is not the correct answer. Option B (9336) is not the correct answer. Option C (9339) is not the correct answer. Option D (9969) is not the correct answer. The correct answer is not listed as an option, but it should be 393216 based on the pattern in the series.