What is the differenca between a geometric 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 3,12,48,192,708, ...
Which of the two sequences is geometric? Why?
Which of the Iwo sequences is arithmetic? Explain.
How do you determine whether a sequence is geometric or arithmetic?
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Answer:
— An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.