The missing number in the series 5, 16, 49, 104 is 181.
Here's how we find it, based on the provided reference:
The series is: 5, 16, 49, 104, __
According to the reference, the pattern is based on odd multiples of a certain number. In this case, the pattern is not directly of odd multiples of 11, but this is the closest description we can get:
- To find the pattern, first find the differences between consecutive numbers:
- 16 - 5 = 11
- 49 - 16 = 33
- 104 - 49 = 55
- The differences (11, 33, 55) are multiples of 11:
- 11 x 1 = 11
- 11 x 3 = 33
- 11 x 5 = 55
- The multiples of 11 are increasing by 2 in each step (1, 3, 5...). The next odd number will be 7.
- Next difference: 11 x 7 = 77
- The missing number is: 104 + 77 = 181
Therefore, the series continues: 5, 16, 49, 104, 181.