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Find the common ratio of the geometric sequence -9,-72,-576,dots Answer:

Find the common ratio of the geometric sequence −9,−72,−576,… -9,-72,-576, \ldots \newlineAnswer:

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Full solution

Q. Find the common ratio of the geometric sequence −9,−72,−576,… -9,-72,-576, \ldots \newlineAnswer:
  1. Divide Terms: 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 to find the common ratio.\newline−72÷−9=8-72 \div -9 = 8
  2. Check Consistency: Now, let's check our result by dividing the third term by the second term to ensure the common ratio is consistent throughout the sequence.\newline−576÷−72=8-576 \div -72 = 8
  3. Confirm Common Ratio: Both calculations give us the same result, which confirms that the common ratio is indeed 88.

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