Answer:
Option d., 8.918
Step-by-step explanation:
Exponential sequence is given as
26, 18.2, 12.74, ____, 6.2426
Explicit formula of the function is given by [tex]a_{n}=a(r)^{n-1}[/tex]
when a = first term = 26
r = common ratio = [tex]\frac{18.2}{26}[/tex] = 0.7
So the sequence will be
[tex]a_{n}=26(0.7)^{n-1}[/tex]
We have to find the forth term of the sequence
[tex]a_{4}=26(0.7)^{4-1}[/tex]
= 26(0.7)³
a₄ = 8.918
Option D. is the answer.
