To solve this question, the user needs to identify the pattern or rule that is being followed in the sequence.
Looking at the sequence, we can see that the numbers are increasing, but not by a constant amount.
If we find the difference between consecutive numbers in the sequence, we get:
5, 10, 26, 50, 122, 170, ...
5 16 24 72 48 ...
The differences between the consecutive numbers are not constant.
If we find the difference between the differences, we get:
5, 10, 26, 50, 122, 170, ...
5 16 24 72 48 ...
11 8 48 -24 ...
-3 40 -72 -72 ...
The second differences are not constant either.
However, if we look at the sequence, we can see that the numbers are alternating between odd and even values.
5, 10, 26, 50, 122, 170, ...
O E O E O E ...
Moreover, the difference between the consecutive odd terms is increasing by 6, and the difference between the consecutive even terms is increasing by 12.
Using this pattern, we can find the next term in the sequence:
5, 10, 26, 50, 122, 170, 290, ...
O E O E O E O ...
The odd term after 170 is 195 (170 + 25), and the even term after 195 is 290 (170 + 120).
Therefore, the answer is:
The Answer is: A. 290