Respuesta :

Answer:

A. 3,1,1/3,1/9,1/27 because you are multiplying by 1/3 every time to get new term.

C. 1,6,36,216,1296 because you are multiplying by 6 every time to get new term.

The other sequences you are not multiplying repeatedly to get new terms..

Step-by-step explanation:

The sequence is geometric sequence is 3, 1, 1/3, 1/9, and 1/27.

The sequence is a geometric sequence that is 1, 6, 36, 216, 1, 296.

What is the geometric series?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

If the common ratio between the two successive terms must be constant. Then the sequence is called a geometric sequence.

The sequences are given below;

3, 1, 1/3, 1/9, 1/27

The common ratio between the terms are;

[tex]\rm \dfrac{a_2}{a_1}=\dfrac{1}{3}\\\\\dfrac{a_3}{a_2}=\dfrac{\dfrac{1}{3}}{1}= \dfrac{1}{3} \times \dfrac{1}{1}=\dfrac{1}{3}\\\\\dfrac{a_4}{a_3}=\dfrac{\dfrac{1}{9}}{\dfrac{1}{3}}=\dfrac{3}{9}=\dfrac{1}{3}[/tex]

The sequence is a geometric sequence.

The sequences are given below;

1, 6, 36, 216, 1, 296.

The common ratio between the terms are;

[tex]\rm \dfrac{a_2}{a_1}=\dfrac{6}{1}=6\\\\\dfrac{a_3}{a_2}=\dfrac{36}{6}=6\\\\ \dfrac{a_4}{a_3}=\dfrac{216}{36}=6\\[/tex]

The sequence is a geometric sequence.

More about the sequence link is given below.

brainly.com/question/21961097

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