Answer:
see explanation
Step-by-step explanation:
This is a geometric sequence with explicit formula
[tex]g_{n}[/tex] = g(1)[tex](r)^{n-1}[/tex]
where g(1) is the first term and r the common ratio
Comparing this to the given explicit formula
[tex]g_{n}[/tex] = - 72[tex](\frac{1}{6}) ^{n-1}[/tex]
with g(1) = - 72
and r = [tex]\frac{1}{6}[/tex]
The recursive formula allows any term in the sequence to be obtained by multiplying the previous term by r, thus
g(n) = g(n - 1) × [tex]\frac{1}{6}[/tex]
