Question

What is the recursive rule for the sequence?

Answer 1

Answer:

C

Step-by-step explanation:

Since we are dealing with recursive equations, we can use a simple format.

$a_{1}=x \\ \\ a_{n}=a_{n-1}+y$

x is the starting value and y is the change.

We can see that the change is -5.6 since 5.6 is being subtracted from each term each time.

So the equation would be

$a_n=a_{n-1}-5.6$

We can check this by plugging in the numbers.

Let's see if -8.3 works, which is the 2nd term in the equation.

$a_2=a_{2-1}-5.6 \\ \\ -8.3=a_{1}-5.6 \\ \\ -8.3=-2.7-5.6 \\ \\ -8.3=-8.3$

Therefore, the recursive rule is the third one.