The given sequence is:
[tex]1,8,27,64,125,\ldots[/tex]It is required to give the pattern of the sequence.
The terms of the sequence can be rewritten as:
[tex]1^3,2^3,3^3,4^3,5^3,\ldots[/tex]Hence, the pattern is n³, where n is the number of terms.
The pattern is the cube of natural numbers.