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 \(a_{n}=a(r)^{n-1}\)
when a = first term = 26
r = common ratio = \(\frac{18.2}{26}\) = 0.7
So the sequence will be
\(a_{n}=26(0.7)^{n-1}\)
We have to find the forth term of the sequence
\(a_{4}=26(0.7)^{4-1}\)
= 26(0.7)³
a₄ = 8.918
Option D. is the answer.
