Q. Find the common ratio of the geometric sequence −9,−72,−576,…Answer:
Divide Terms: To find the common ratio of a geometric sequence, we divide any term by the previous term.Let's divide the second term by the first term to find the common ratio.−72÷−9=8
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.−576÷−72=8
Confirm Common Ratio: Both calculations give us the same result, which confirms that the common ratio is indeed 8.