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A geometric sequence is a sequence in which the numbers are multiplied by a fixed number called the common ratio. For example the sequence 2,6,18,54 all have the common ratio of 3! 2*3=6, and 6*3=18, and 18*3=54!!!!!!!
The answer to this problem would be a geometric sequence! Here’s why:, each term has the common ratio of 1/5!!!!!!! 500*1/5=100....and so on
There fore your answer is this sequence could be geometric because it can be multiplied by a fraction in order to get the next term!!!!!!! Hope this helped

A sequence is said to be Geometric sequence if there is a common ratio 'r' in each successive term and the previous term.

[tex]r=\frac{\text{Successive term}}{\text{Previous term}}[/tex]

Given sequence is,

500, 100, 20......

Ratio of 2nd and 1st term = [tex]\frac{100}{500}[/tex]

                                          = [tex]\frac{1}{5}[/tex]

Ratio of 3rd and 2nd term = [tex]\frac{20}{100}[/tex]

                                           = [tex]\frac{1}{5}[/tex]

Therefore, there is a common ratio 'r' = [tex]\frac{1}{5}[/tex]

And the given sequence will be geometric sequence.

Learn more,

https://brainly.com/question/11266123

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