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4. Which of the following is a geometric sequence?

O 3,6,9, 12,...
50,25,0, -25,...
011, 15, 19, 23, ...
4,-16,64, -256,...
HELP PLSS

1 Answer

6 votes

Answer: Choice D

Step-by-step explanation:

We can verify this by noticing the ratio between adjacent terms is the same

  • term2/term1 = -16/4 = -4
  • term3/term2 = 64/(-16) = -4
  • term4/term3 = -256/64 = -4

The common ratio is -4. Each time we need a new term, multiply the previous term by -4. Example: -16*(-4) = 64.

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