1. 2, 4, 8,16 is a geometric sequence as it has a common ratio equal to 2.
2. -5 -9 -13 -17 is a arithmetic sequence as it has a common difference equal to - 4
3. 1 ,4 ,9 ,16 is the sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.
4. 12 ,7 ,2 ,-3 ,-8 is a arithmetic sequence as it has a common difference equal to -5
5. the infinite series 1/2 + 1/4 + 1/8 + 1/16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1.
Answers & Comments
Answer:
1. 2, 4, 8,16 is a geometric sequence as it has a common ratio equal to 2.
2. -5 -9 -13 -17 is a arithmetic sequence as it has a common difference equal to - 4
3. 1 ,4 ,9 ,16 is the sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.
4. 12 ,7 ,2 ,-3 ,-8 is a arithmetic sequence as it has a common difference equal to -5
5. the infinite series 1/2 + 1/4 + 1/8 + 1/16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1.
Step-by-step explanation:
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