By definition, we have to:
An arithmetic sequence is a sequence of numbers that increases or decreases by a constant amount each term.
We can write a formula for the term n of an arithmetic sequence in the form:
an = d * n + c
Where,
n: domain variable
c: initial value
d: constant term.
For this case we have:
an = 4 * n + c
Answer:
The function f (x) is an arithmetic sequence.
Answer:
Option 1 is correct that is the function f(x) is an arithmetic sequence.
Step-by-step explanation:
We have been given the information that function is increasing by 4 for every unit in the domain.
That means difference between the consecutive terms will be same that is common difference exists
For example:
we have a function f(x)=x
Since, it is increasing by 4 for every unit means function becomes x,x+4,x+4+4
The common difference is 4.
Hence, the function f(x) is an arithmetic sequence.
therefore, option 1 is correct.
