Answer:
-200, -300, -450, -675
Step-by-step explanation:
Let's look at each sequence individually, and see what relates them.
For the first sequence, -4 can be multiplied by -3/2 to get 6. Therefore, each term in the first sequence is -3/2 times the previous term. This is not what we are looking for.
For the second sequence, (n)*5 is added for the nth term after 10.
i.e. (1*5)+10=15, (2*5)+15=25, (3*5)+25=40, and so on...
This is still not the correct answer.
For the third sequence, 1.5 is added to the previous term to get the next term. This is still not what we are looking for.
Finally, let's look at the fourth sequence. -200 can be multiplied by 1.5 to get the next term, -300, which can be multiplied by 1.5 to get the following term, -450. Since each term in this sequence is multiplied by 1.5 to get the following term, (-200, -300, -450, -675...) is the sequence we're looking for.
Hope this helps!
