Question

what is the explicit formula that represents the following sequence? {1,-6,36,-216...} A5

Answer 1

N=#

-6(n)
I think this is the answer

Answer 2

we see this a geometric sequcne because each term is -6 times of the previous term

an=a1(r)^(n-1)
an=nth term
a1=first term
r=common ratio
n=which term


we see that it multiplies by -6 each time
and the first term is 1

so r=-6
a1=1

an=1(-6)^(n-1)
the explicit formula is
$a_n=1(-6)^{n-1}$

and a5=1(-6)^(5-1)=1(-6)^4=1296