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