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.
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