A sequence is a function defined on the set of .

All sequences are functions.

All functions are sequences.

Find the next three terms of the sequence $8, 24, 72,\dots \dots$.

Find the next three terms of the sequence $5, 1,-3,\dots$.

Find the next three terms of the sequence $\frac{1}{4}, \frac{2}{9}, \frac{3}{16},\dots \dots \dots$.

Find the first four terms of the sequence whose $n^{\mathrm{th}}$ term is given by $a_n=n^3-2$.

Find the first four terms of the sequence whose $n^{\mathrm{th}}$ term is given by $a_n=(-1{)}^{n+1}n(n+1)$.