What is the common ratio between successive terms in the sequence 27 9 3 1 3 3


What is the common ratio between successive terms in the sequence 27 9 3 1 3 3

In mathematics, a sequence is an ordered collection of objects in which repetitions are allowed. If the objects are real numbers, then the terms of the sequence are called its terms or its elements. A given infinite sequence (sequence with infinitely many terms) may have one or more convergent subsequences, each of which converges to the same limit (if it exists). This limit is known as the limit of the original sequence, and is usually denoted by lim(n→∞)an.

How to find the common ratio


To find the common ratio between successive terms in a sequence, divide each successive term by the one before it. In the sequence 27 9 3 1 3 3, the common ratio is

27/9=3
9/3=3
3/1=3
1/3=1/3

What is the common ratio between successive terms in the Fibonacci sequence

The Fibonacci sequence is a sequence of numbers where each successive number is the sum of the previous two. The most well-known instance of this sequence is probably the sequence of numbers starting with 0 and 1, where each successive number is the sum of the previous two: 0, 1, 1, 2, 3, 5, 8, 13…

However, the Fibonacci sequence actually extends infinitely in both directions. So the Fibonacci sequence starting with 1 and 2 would be: 1, 2, 3, 5, 8… And the Fibonacci sequence starting with -1 and 1 would be: -1, 1, 0, 1, 1…

The common ratio between successive terms in the Fibonacci sequence is simply the ratio of any two adjacent terms in the sequence. For example, in the Fibonacci sequence starting with 0 and 1, if we take any two adjacent terms (such as 3 and 5), we can see that they have a ratio of approximately 1.667 (3 divided by 5). This holds true for all successive pairs of terms in this particular Fibonacci sequence. So we can say that the common ratio between successive terms in this Fibonacci sequence is approximately 1.667.

What is the common ratio between successive terms in the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144

The common ratio between successive terms in the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 is 3.

Conclusion

The common ratio between successive terms in the sequence 27 9 3 1 3 3 is 3.


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