Question

A sequence has a ratio of 4. When n = 1, the value of the function is 16.

Which function models the sequence?

Answer 1

OPTION D: f(n) = 4 . 4ⁿ

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
`$ \\e $` RHS. So, this option is eliminated.

OPTION B:

RHS = 4(1) + 8 = 12

Clearly, LHS
`$ \\e $` RHS.

So, this option is eliminated as well.

OPTION C:

RHS = 2 . 4¹ = 8

LHS
`$ \\e $` RHS.

OPTION C is eliminated.

OPTION D:

RHS = 4 . 4¹ = 16

LHS = RHS.

Hence, OPTION D is the correct answer.