Answer:




The given sequence is not following any specific mathematical pattern. However, we can observe some patterns to find out the missing numbers in the sequence. Let's break down the sequence and analyze it step by step.

Step 1: The difference between numbers


First, let's find the difference between the given numbers in the sequence. By doing so, we can identify any possible patterns.

- The difference between 7 and 26 is 19.
- The difference between 26 and 63 is 37.
- The difference between 63 and 214 is 151.
- The difference between 214 and 215 is 1.

Step 2: Identify the pattern


From the above differences, we can observe that there is no specific pattern. However, we can see that the difference between the first three numbers is increasing, while the difference between the fourth and fifth numbers is only 1.

Step 3: Find the missing numbers


Based on the above pattern, we can predict the next difference to be 151 + 1 = 152. Therefore, the next number in the sequence should be 215 + 152 = 367.

However, there is another missing number in the sequence after 511. To find this missing number, we can apply the same logic as above. The difference between 215 and 511 is 296. Therefore, the next difference should be 296 + 1 = 297. Hence, the missing number in the sequence should be 511 + 297 = 808.

Final sequence: 7 26 63 214 215 367 511 808