What is the common ratio of the following geometric sequence? 27, 9, 3, 1, .. O 27 6. O 3 O 1/3
What is the common ratio of the following geometric sequence? 27, 9, 3, 1, .. O 27 6. O 3 O 1/3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Geometric Sequence Common Ratio Question**
**Question:**
What is the common ratio of the following geometric sequence?
Sequence: 27, 9, 3, 1, ...
**Options:**
- ○ 27
- ○ 9
- ○ 3
- ○ 1/3
**Explanation:**
To find the common ratio of a geometric sequence, divide any term by the previous term. For this sequence, divide the second term (9) by the first term (27) to find the common ratio:
\[ \text{Common Ratio} = \frac{9}{27} = \frac{1}{3} \]
This ratio should be consistent for all consecutive terms in the sequence.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58591baa-c0bc-433b-b6a8-54571afeaf18%2F020c7172-759f-425a-b8bb-4cd3896f71d6%2Fcyjs61a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Geometric Sequence Common Ratio Question**
**Question:**
What is the common ratio of the following geometric sequence?
Sequence: 27, 9, 3, 1, ...
**Options:**
- ○ 27
- ○ 9
- ○ 3
- ○ 1/3
**Explanation:**
To find the common ratio of a geometric sequence, divide any term by the previous term. For this sequence, divide the second term (9) by the first term (27) to find the common ratio:
\[ \text{Common Ratio} = \frac{9}{27} = \frac{1}{3} \]
This ratio should be consistent for all consecutive terms in the sequence.
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