Answer:
Option (2)
Step-by-step explanation:
Given sequence is,
8, 24, 72, 216........
1st term of the sequence 'a' = 8
Ratio of 2nd and 1st term = [tex]\frac{24}{8}=3[/tex]
Ratio of 3rd and 2nd term = [tex]\frac{72}{24}=3[/tex]
There is a common ratio of 'r' = 3 in each successive and previous term.
Therefore, it's a geometric sequence.
Since, nth term of a geometric sequence is given by,
[tex]T_n=a(r)^{n-1}[/tex]
Therefore, function representing the geometric sequence is,
f(n) = [tex]f(n)=8(3)^{n-1}[/tex]
Option (2) is the answer.
