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44 votes
What is the common ratio of the following geometric sequence? 6, 9, 27/2, 81/4,...​

User Eslam Hamdy
by
3.3k points

2 Answers

15 votes
15 votes

Answer:

r = 3/2

Explanation:

1.5 written as a fraction is 3/2

User Piyush
by
3.0k points
15 votes
15 votes

Answer:

1.5

Explanation:

To find the common ratio of a geometric sequence, you divide two consecutive terms together. You can start by dividing 9/6, or 1.5. To confirm this is the common ratio, you can divide 27/2 ÷ 9, which is indeed 1.5. The common ratio is the multiplier of the sequence, so it is consecutive and does not change throughout the function.

User Hans Hohenfeld
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2.8k points