The next three terms are 81, 121, and 169.
Given: 1, 9, 25, 49
The difference between 9 and 1 is 8.
The difference between 25 and 9 is 16.
The difference between 49 and 25 is 24.
The difference between 16 and 8 is 8 and the difference between 24 and 16 is 8.
Continuing the process- you will add 32 to 49 which results to 81. Add 40 to 81 which is 121. Lastly add 48 to 121 that gives you 169.
This is actually an Arithmentic Sequence.