Answer:
OPTION D: f(n) = 4 . 4ⁿ
Step-by-step explanation:
Substitute n = 1. Compare LHS and RHS to determine the function.
LHS = f(1) = 16, given.
OPTION A:
RHS: = 4(1) + 2 = 6
LHS [tex]$ \ne $[/tex] RHS. So, this option is eliminated.
OPTION B:
RHS = 4(1) + 8 = 12
Clearly, LHS [tex]$ \ne $[/tex] RHS.
So, this option is eliminated as well.
OPTION C:
RHS = 2 . 4¹ = 8
LHS [tex]$ \ne $[/tex] RHS.
OPTION C is eliminated.
OPTION D:
RHS = 4 . 4¹ = 16
LHS = RHS.
Hence, OPTION D is the correct answer.
