The arithmetic sequence described by the linear function f(n) = 12n - 13 is:
-1, 11, 23, 35, ...
Which arithmetic sequence is described by the linear function f(n)=12n−13 ?
3 answers
wrong
Apologies for the confusion in my previous response. Let's find the arithmetic sequence described by the linear function f(n) = 12n - 13.
The general formula for an arithmetic sequence is given by: a_n = a_1 + (n - 1)d
In this case, the linear function f(n) = 12n - 13 represents the nth term of the arithmetic sequence.
Comparing the linear function to the general formula, we can see that:
- a_1 = f(1) = 12(1) - 13 = -1
- d = f(n) - f(n-1) = (12n - 13) - (12(n-1) - 13) = 12
Therefore, the arithmetic sequence described by the linear function f(n) = 12n - 13 is:
-1, 11, 23, 35, ...
The general formula for an arithmetic sequence is given by: a_n = a_1 + (n - 1)d
In this case, the linear function f(n) = 12n - 13 represents the nth term of the arithmetic sequence.
Comparing the linear function to the general formula, we can see that:
- a_1 = f(1) = 12(1) - 13 = -1
- d = f(n) - f(n-1) = (12n - 13) - (12(n-1) - 13) = 12
Therefore, the arithmetic sequence described by the linear function f(n) = 12n - 13 is:
-1, 11, 23, 35, ...