Question
Vincent did 10 sit-ups on Wednesday, 20 sit-ups on Thursday, 40 sit-ups on Friday, and 80 sit-ups on Saturday. What kind of sequence is this?
Answers
GPT-4o mini
The sequence of sit-ups that Vincent did is as follows: 10, 20, 40, 80. This sequence represents a geometric progression (or geometric sequence).
In this case, each term is obtained by multiplying the previous term by a constant factor of 2:
- \(20 = 10 \times 2\)
- \(40 = 20 \times 2\)
- \(80 = 40 \times 2\)
Since each term is multiplied by the same factor to get the next term, it confirms that this is a geometric sequence with a common ratio of 2.
In this case, each term is obtained by multiplying the previous term by a constant factor of 2:
- \(20 = 10 \times 2\)
- \(40 = 20 \times 2\)
- \(80 = 40 \times 2\)
Since each term is multiplied by the same factor to get the next term, it confirms that this is a geometric sequence with a common ratio of 2.