Q. Find the common ratio of the geometric sequence −11,44,−176,…Answer:
Identify given sequence: Identify the given geometric sequence.The sequence provided is −11, 44, −176, ...We need to find the common ratio, which is the factor that each term is multiplied by to get the next term.
Calculate common ratio: Calculate the ratio between the second and the first term.To find the common ratio, we divide the second term by the first term.Common Ratio r = −1144 = −4
Verify common ratio: Verify the common ratio by checking the ratio between the third and the second term.To ensure that the common ratio is correct, we divide the third term by the second term.Common Ratio r = (−176)/44 = −4This confirms that the common ratio is consistent across these terms.
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