Question
Arithmetic sequences
can be represented as a linear function.
can be represented as a linear function.
Answers
Answered by
GPT 3.5
Yes, arithmetic sequences can be represented as a linear function.
In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. This constant difference is often denoted as "d".
If we let the first term of the arithmetic sequence be "a" and the term number be "n", then the nth term of the arithmetic sequence can be represented as:
an = a + (n-1)d
This equation represents a linear function, where "a" represents the y-intercept and "d" represents the slope (which is constant in this case).
In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. This constant difference is often denoted as "d".
If we let the first term of the arithmetic sequence be "a" and the term number be "n", then the nth term of the arithmetic sequence can be represented as:
an = a + (n-1)d
This equation represents a linear function, where "a" represents the y-intercept and "d" represents the slope (which is constant in this case).