What’s next in sequence?

-2, why?

Please show your personal efforts.

1) There are infinitely many answers. Just find one and justify it.
3) Look for a pattern. Any pattern.
 
What’s next?
1,-4,9,-16,.....
Any number can be next - depends on the "reading of the mind" of the person who made up the question . However, I would notice that the given sequence can be written as:

12, -22, 32, -42.......

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem.
 
I suspect that whoever set this problem expected you to look at "1, 4, 9, 16" and immediately think "Aha, squares!"
 
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