No, they do not. If the first term is negative, they always decrease.
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What is the sum of the first 27 terms of the geometric sequence -3, 3, - 3, 3, . . . ?
An arithmetic sequence does not have a constant rate of increase or decrease between successive terms, so it cannot be called anything!The constant increase or decrease is called the common difference.
Well, well, well, look who's getting fancy with geometric sequences! When the ratio between consecutive terms is "r," each term is found by multiplying the previous term by "r." So, in simpler terms, if you have a sequence like 2, 4, 8, 16, the ratio between consecutive terms is 2. Math can be sassy too, honey!
It could be either. The answer depends on how many terms if any are between 48 and 192.
Arithmetic Sequence