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Find the common ratio of the geometric sequence -18,-36,-72,dots Answer:

Find the common ratio of the geometric sequence −18,−36,−72,… -18,-36,-72, \ldots \newlineAnswer:

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Full solution

Q. Find the common ratio of the geometric sequence −18,−36,−72,… -18,-36,-72, \ldots \newlineAnswer:
  1. Find Common Ratio: To find the common ratio of a geometric sequence, we divide any term by the previous term.\newlineLet's divide the second term by the first term.\newlineCommon ratio rr = Second term / First term\newliner=−36/−18r = -36 / -18
  2. Perform Division: Now, let's perform the division to find the common ratio. \newliner=−36−18=2r = \frac{-36}{-18} = 2\newlineThe common ratio is positive because dividing two negative numbers results in a positive number.

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