Question

What is the 9th term of a geometric

Answer 1

Answer:

Step-by-step explanation:

The formula for an explicit geometric sequence is

$a_n=a_1*r^{n-1$ where n is the position of the number in the sequence (ours will be 9 since we are looking for the 9th term), a1 is the first term in the sequence (ours is given as 12), and r is the common ratio (ours is given as -3). Filling all of that in to get the explicit formula we need:

$a_n=12*(-3)^{n-1$ and solving for the 9th term:

$a_9=12*(-3)^8$ which gives us, simplified a bit:

$a_9=12(6561)$ so

a9 = 78,732