Identify the 16th term of a geometric sequence where a1 = 4 and a8 = −8,748... How do I find the value of r

r = -3

16th term: -516560652

Step-by-step explanation:

Let's use the formula for a geometric sequence:

, where is the nth term, is the first term, and r is the common ratio

Here, we know the first term is 4. To find r, let's plug in 8 for n and -8748 for :

-8748 = 4 *

-8748 = 4 *

= -2187

r = -3

So we know that the common ratio is -3. Now, we want to find the 16th term, so n = 16: