Given the geometric sequence where a1 = 3 and the common ratio is −1, the domain for n is all integers where n ≥ 1.
A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio. For instance, the geometric progression 2, 6, 18, and 54 has a common ratio of 3. Similar to that, the geometric sequence 10, 5, 2.5, and 1.25 has a common ratio of 1/2.
A geometric sequence's behavior is determined by the common ratio's value.
The terms will all share the same sign as the first term, which is positive.
positive and negative phrases will be used alternately.
If the number is bigger than 1, exponential growth will continue until positive or negative infinity.
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