Answer:
[tex]\huge\boxed{\text{(A)}\ 0.36}[/tex]
Step-by-step explanation:
This sequence will have a pattern. Our goal is to try and find this pattern.
Our first two numbers are -45 and 9. The first relationship between these numbers that pops into my mind is 5. [tex]9 \cdot 5 = 45[/tex]. However, we go from -45 to 9. This means we have to divide by -5. [tex]-45 \div -5 = 9[/tex]
Let's check this actually is what the sequence is. It would be true if [tex]9 \div -5 = -1.8[/tex].
[tex]9 \div -5 = -1.8[/tex]
So -5 is the divisor.
To find the next term in the sequence, we divide -1.8 by -5.
[tex]-1.8 \div -5 = 0.36[/tex]
Hope this helped!
