Answer:
r = -3
16th term: -516560652
Step-by-step explanation:
Let's use the formula for a geometric sequence:
[tex]a_n=a_1r^{n-1}[/tex], where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] 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 [tex]a_n[/tex]:
[tex]a_n=a_1r^{n-1}[/tex]
-8748 = 4 * [tex]r^{8-1}[/tex]
-8748 = 4 * [tex]r^7[/tex]
[tex]r^7[/tex] = -2187
r = -3
So we know that the common ratio is -3. Now, we want to find the 16th term, so n = 16:
[tex]a_n=a_1r^{n-1}[/tex]
[tex]a_{16}=a_1*(-3)^{16-1}=4*(-3)^{17}=-516560652[/tex]
Answer:
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
