Example 2.3.4.
Determine whether the following sequences can be described by a polynomial, and if so, of what degree.
\(\displaystyle 1, 2, 4, 8, 16, \ldots\)
\(\displaystyle 0, 7, 50, 183, 484, 1055, \ldots\)
\(\displaystyle 1,1,2,3,5,8,13,\ldots\)
Determine whether the following sequences can be described by a polynomial, and if so, of what degree.
\(\displaystyle 1, 2, 4, 8, 16, \ldots\)
\(\displaystyle 0, 7, 50, 183, 484, 1055, \ldots\)
\(\displaystyle 1,1,2,3,5,8,13,\ldots\)