To find the value of X in the sequence 4, 8, 32, 192, 1536, 15360, X, we need to determine the pattern or rule governing the sequence. Let's analyze the sequence step-by-step:
- The sequence starts with 4.
- The second number is 8, which can be described as 4 * 2.
- The third number is 32, which is 8 * 4.
- The fourth number is 192, which is 32 * 6.
- The fifth number is 1536, which is 192 * 8.
- The sixth number is 15360, which is 1536 * 10.
Observing the multiplier pattern: 2, 4, 6, 8, 10, we can see that each number is multiplied by successive even numbers starting from 2. Now, let's apply this pattern to find X:
- Currently, 15360 is obtained from 1536 * 10.
- Following the pattern, the next multiplier should be 12.
Hence, to find X:
\(X = 15360 \times 12\)
| Calculation | Result |
|---|---|
| 15360 * 12 | 184320 |
Therefore, the value of X is 184320. This matches option 184320, making it the correct answer.
Important Questions from Number Series
Select the number from among the given options that can replace the question mark (?) in the following series.
37, 52, 74, 104, 143, ?
Select the number that can replace the question mark (?) in the following series.
17, 19, 22, 27, 34, 45, 58,?Select the number from among the given options that can replace the question mark (?) in the following series.
10, 14, 31, 35, 73, 77, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
215, 231, 256, 292, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
6, 6, 8, 24, 28, 140, ?
