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Pie
3 years ago
13

Melinda has shown that a function, f(x), increases by 4 for every unit in the domain. What does this prove?

Mathematics
2 answers:
inn [45]3 years ago
5 0
It proves The function f(x) is an arithmetic sequence.
loris [4]3 years ago
5 0

Answer:-The function f(x) is an arithmetic sequence.


Explanation:-

Let a_1 be the initial value

According to the question

a_2=a_1+4

a_3=a_2+4\\\Rightarrow\ a_3=(a_1+4)+4\\\Rightarrow\ a_3=a_1+4+4\\\Rightarrow\ a_3=a_1+2(4)\\\Rightarrow\ a_3=a_1+2\times4\\\Rightarrow\ a_3=a_1+(3-1)4  and so on

Thus, we can write a formula for the term n of an arithmetic sequence in the form:

a_n=a_1+(n-1)4

where, n=1,2,3,4,....

4= common difference

Therefore, the function f(x) is an arithmetic sequence.

  • An arithmetic sequence is a sequence of numbers in which each term increases or decreases by a constant number.

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