To find the pattern in the given sequence, let's analyze the differences between consecutive terms:
7, 6, 10, 27, 104, -----
The difference between the second and first terms is: 6 - 7 = -1.
The difference between the third and second terms is: 10 - 6 = 4.
The difference between the fourth and third terms is: 27 - 10 = 17.
The difference between the fifth and fourth terms is: 104 - 27 = 77.
From the given differences, we can observe that the differences are increasing. Let's continue this pattern:
The difference between the sixth and fifth terms is: ? - 104 = ?
To find the missing difference, we can see that the differences are increasing by adding consecutive odd numbers: 1, 3, 5, 7, ...
So, the next difference should be 9.
104 + 9 = 113
Now, to find the next term in the sequence, we add the difference to the last term:
104 + 9 = 113
Therefore, the next term in the sequence is 113.
The correct answer is not provided in the options. Please check the options again and provide the correct answer.