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Find the common ratio of the geometric sequence -3,-24,-192,dots Answer:

Find the common ratio of the geometric sequence −3,−24,−192,… -3,-24,-192, \ldots \newlineAnswer:

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Full solution

Q. Find the common ratio of the geometric sequence −3,−24,−192,… -3,-24,-192, \ldots \newlineAnswer:
  1. Divide First Term: To find the common ratio of a geometric sequence, we divide any term by the previous term. Let's divide the second term by the first term.\newlineCalculation: (−24)/(−3)=8(-24) / (-3) = 8\newlineMath error check:
  2. Confirm Common Ratio: To confirm that 88 is indeed the common ratio, let's divide the third term by the second term.\newlineCalculation: (−192)/(−24)=8(-192) / (-24) = 8\newlineMath error check:
  3. Conclusion: Since both the second term divided by the first term and the third term divided by the second term give us the same number, 88, we can conclude that the common ratio is 88.\newlineMath error check:

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