Question

What is the recursive rule for the sequence?

Answer 1

C

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.