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what is the difference between a geomereic sequence and an arithmetic sequence?how do you know that a sequence is arithmetic or geometric? Consider the two sequences:81,84,47,30,13,...and 3,12,48,192,768...

Which of the two sequences is geometric? Why?

Which of the two sequences is arithmetic? Explain.

How do you determine whether a sequence is geometric and arithmetic?

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Answer:

geometric sequence has consecutive numbers with common ratio while arithmetic sequence is a sequence of numbers attained through common differences.

3, 12, 48, 192, 768,... is geometric because it has a common ratio of 4.

a geometric sequence has common ratio between consecutive numbers while arithmetic has common differences.

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