Answer:
A: 2
B: -1/3
Explanation:
A: We are looking for the common ratio between the terms of the sequence, which is essentially what you are multiplying by to get from one term to the next. To find this, we just have to divide the second term by the first term.
-4 / -2 = 2, therefore our common ratio is 2.
We can check this by continuing to multiply the next terms by 2 - -4 x 2 = -8, -8 x 2 = -16, so the pattern works.
B: For B, we will do exactly the same method as before: 3/-9 = -1/3, so our multiplier is -1/3.
To check: 3 x -1/3 = -1, and -1 x -1/3 = 1/3, which both follow our rule.
Hope this helps! Let me know if you have any questions.