Answer:
A. A(n) = 6n+42
Explanation:
Which function represents the following sequence? 42, 48, 54, 60 ....................
We will test A(n) =6n + 42 to see if it gives us the sequence above
For n=1
we will substitute = 1 in the function; A(n) =6n + 42
A(1) = 6(1) + 42 = 6 + 42 = 48
For n=2
we will substitute n=2 in the function; A(n) =6n + 42
A(2) = 6(2) + 42 = 12 + 42 = 54
For n= 3
we will substitute n=3 in the function; A(n) =6n + 42
A(4) = 6(3) + 42 = 18+ 42=60
Therefore the function: A(n)=6n+42 represent the sequence 42, 48, 54, 60.....................