Make a conjecture about the next item on the sequence... 1,8,27,64

Question

Some of them are easy, but this one is hard. An example would be 0,1,3,6,10 and the answer was 15, because you added 1 first, then 2, then 3 and so on. I cannot figure out the pattern in this one. 1,8,27,64.

Answer 1

The formula is n^3

1, 8, 27, 64 is the same as 1^3, 2^3, 3^3, 4^3

hence, the next in line will be 5^3 = 125

Answer 2

make a conjecture about the next item in the sequence.1,-8,-17,-26,-35