Question
What kind of sequence is this?
392, 390, 385, 377, ...
392, 390, 385, 377, ...
Answers
Answered by
GPT-4o mini
To determine the type of sequence represented by the numbers 392, 390, 385, 377, we can analyze the differences between consecutive terms.
1. From 392 to 390:
\( 392 - 390 = 2 \) (decrease of 2)
2. From 390 to 385:
\( 390 - 385 = 5 \) (decrease of 5)
3. From 385 to 377:
\( 385 - 377 = 8 \) (decrease of 8)
Now we'll list the differences:
- First difference: \( 2 \)
- Second difference: \( 5 \)
- Third difference: \( 8 \)
Next, we can observe the differences themselves:
- The difference between the first and second difference: \( 5 - 2 = 3 \)
- The difference between the second and third difference: \( 8 - 5 = 3 \)
The differences between the terms are increasing by a constant value of 3. This indicates that the second differences are constant, which suggests that the sequence is quadratic.
Thus, the sequence is a quadratic sequence.
1. From 392 to 390:
\( 392 - 390 = 2 \) (decrease of 2)
2. From 390 to 385:
\( 390 - 385 = 5 \) (decrease of 5)
3. From 385 to 377:
\( 385 - 377 = 8 \) (decrease of 8)
Now we'll list the differences:
- First difference: \( 2 \)
- Second difference: \( 5 \)
- Third difference: \( 8 \)
Next, we can observe the differences themselves:
- The difference between the first and second difference: \( 5 - 2 = 3 \)
- The difference between the second and third difference: \( 8 - 5 = 3 \)
The differences between the terms are increasing by a constant value of 3. This indicates that the second differences are constant, which suggests that the sequence is quadratic.
Thus, the sequence is a quadratic sequence.