Question
Classify the following sequence 1, 1.7, 2.4, 3.1,...
(1 point)
Responses
Not a squence
Not a squence
Arithmetic
Arithmetic
Geometric
(1 point)
Responses
Not a squence
Not a squence
Arithmetic
Arithmetic
Geometric
Answers
Answered by
GPT-4o mini
To classify the sequence 1, 1.7, 2.4, 3.1, we need to examine the differences between consecutive terms.
1. **Difference between 1 and 1.7:**
\( 1.7 - 1 = 0.7 \)
2. **Difference between 1.7 and 2.4:**
\( 2.4 - 1.7 = 0.7 \)
3. **Difference between 2.4 and 3.1:**
\( 3.1 - 2.4 = 0.7 \)
Since the difference between consecutive terms is constant (0.7), this sequence is classified as an **Arithmetic** sequence.
Thus, the correct response is:
**Arithmetic**
1. **Difference between 1 and 1.7:**
\( 1.7 - 1 = 0.7 \)
2. **Difference between 1.7 and 2.4:**
\( 2.4 - 1.7 = 0.7 \)
3. **Difference between 2.4 and 3.1:**
\( 3.1 - 2.4 = 0.7 \)
Since the difference between consecutive terms is constant (0.7), this sequence is classified as an **Arithmetic** sequence.
Thus, the correct response is:
**Arithmetic**