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Find the common ratio of the geometric sequence -9,-18,-36,dots Answer:

Find the common ratio of the geometric sequence −9,−18,−36,… -9,-18,-36, \ldots \newlineAnswer:

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Full solution

Q. Find the common ratio of the geometric sequence −9,−18,−36,… -9,-18,-36, \ldots \newlineAnswer:
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence −9-9, −18-18, −36-36, ... has each term obtained by multiplying the previous term by a constant. This indicates that it is a geometric sequence.
  2. Determine common ratio: Determine the common ratio.\newlineTo find the common ratio, divide a term in the sequence by the previous term. Using the first two terms: −18/−9=2-18 / -9 = 2.
  3. Verify consistency: Verify the common ratio with another pair of terms.\newlineCheck the common ratio using the second and third terms: −36/−18=2-36 / -18 = 2. This confirms that the common ratio is consistent throughout the sequence.

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