The explicit formula would be
[tex]g_n=5(3)^{n-1}[/tex]
This is a geometric sequence, since each term is found by multiplying the previous term by a constant. The explicit form of a geometric sequence is given by
[tex]g_n=g_n \times r^{n-1}[/tex]
where r is the common ratio, or constant we multiply by, and g₁ is the first term. For our sequence, g₁ = 5 and r = 3, so our formula is
[tex]g_n=5(3)^{n-1}[/tex]
