Question

The term of an arithmetic sequence are shown below. Which recursive formula defines the sequence. F(1)=6, f(4)=12, f(7)=18

Answer 1

Answer:

 f(n) = f(n - 1) + 2.

Step-by-step explanation:

The general form is f(n) = f(n-1) + d     n >= 2.

f(4) - f(1) = 12-6 = 6

f(7) - f(4)  = 18 - 12 = 6

So the common difference d = 6 / 3 = 2.

The answer is  f(n) = f(n - 1) + 2.