#### Answer

The first five terms are:
$a_1 = 1
\\a_2 = 4
\\a_3 = 27
\\a_4= 256
\\a_5=3125$
RECALL:
A sequence is geometric if there is a common ratio among consecutive terms.
Note that consecutive terms do not have a common ratio.
Thus, the sequence is not geometric.

#### Work Step by Step

To find the first five terms, substitute 1, 2, 3, 4, and 5 to the given formula.
$a_1 = 1^1=1
\\a_2 = 2^2=4
\\a_3 = 3^3=27
\\a_4= 4^4=256
\\a_5=5^5=3125$
RECALL:
A sequence is geometric if there is a common ratio among consecutive terms.
Note that consecutive terms do not have a common ratio.
Thus, the sequence is not geometric.