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Answer:

in steps

Step-by-step explanation:

4, –4, 4, –4,. . .   Geometric with common ratio of -1

2, 2 1/3, 2 2/3, 3, 3 1/3,. . .Arithmetic  with common difference of 1/3

1/10, 3/20, 5/30, 7/40,. . .  neither

first picture(left): geometric, ratio 1/2

2nd picture (right): arithmetic, difference -4

The first sequence is Geometric and the second is Arithmetic, third one is none of them.

What are an Arithmetic sequence and a Geometric sequence?

An Arithmetic Sequence is such that each term is obtained by adding a constant to the preceding term. This constant is called the Common Difference. Whereas, in a Geometric Sequence each term is obtained by multiplying a constant by the preceding term. This constant is called the Common Ratio.

How to Identify the type of sequence?

4, –4, 4, –4, . . .   Geometric with a common ratio of -1.

2, 2 1/3, 2 2/3, 3, 3 1/3, . . .Arithmetic with common difference of 1/3.

1/10, 3/20, 5/30, 7/40, . . .  neither

first picture(left): geometric, ratio 1/2

2nd picture (right): arithmetic, difference -4.

Learn more about sequences on:

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