The explicit formula would be [tex]g_n=5(3)^{n-1}[/tex].
This is a geometric sequence, since we are multiplying each term by a constant to find the next term.
The explicit formula for a geometric sequence is given by
[tex]g_n=g_1(r)^{n-1}[/tex],
where g₁ is the first term and r is the common ratio, or the number that is multiplied to get the next term.
Our first term is 5, and the common ratio is 3.
