Using the graph below, what are the common ratio and the general term equation, an, of the geometric sequence?
Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio
a1 = -24, a2 = -8, a3 = -8/3, ...
To go from a1 to a2, divide by 3, or multiply by 1/3; thus the common ratio is 1/3.
To find a0, multiply a1 by 3 (because you are going backwards) to get -72.
The formula for the nth term is : an = a0·rn ---> an = 72 · (1/3)n.
Hi @CPhill, thanks for all of your help. I was wondering if the answer to this question is Is it r=1/3, an=-24(1/3)^n-1?