Question

Write an explicit formula for this table

Answer 1

The explicit formula would be $g_n=5(3)^{n-1}$.

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 
$g_n=g_1(r)^{n-1}$,
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.