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# What is the common ratio between successive terms in the sequence? 27, 9, 3, 1,…

**Solution:**

Given: Sequence is 27, 9, 3, 1,…

A sequence in which the ratio between two consecutive terms is the same is called a geometric sequence.

A geometric progression is a sequence where every term bears a constant ratio to its preceding term.

The geometric sequence is generally represented in form a, ar, ar^{2}, ... where a is the first term and r is the common ratio of the sequence.

The ccommon ratio can have both negative as well as positive values.

The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form.

a\(_2\)/a\(_1\) = 9/27 = 1/3

a\(_3\)/a\(_2\) = 3/9 = 1/3

a\(_4\)/a\(_3\) = 1/3

In the sequence, the ratio 1/3 is the same and is called the common ratio.

Therefore, the common ratio for the given sequence is 1/3.

## What is the common ratio between successive terms in the sequence? 27, 9, 3, 1,…

**Summary:**

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

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