Question

Which of the following is true regarding the sequence graphed below?

a. The sequence is arithmetic because the terms have a common difference.
b. The sequence is arithmetic because the terms do not have a common difference.
c. The sequence is not arithmetic because the terms have a common difference.
d. The sequence is not arithmetic because the terms do not have a common difference.

Answer 1

a

Explanation:

Answer 2

a) The sequence is arithmetic because the terms have a common difference

Explanation:

In any Arithmetic Sequence, we have a constant difference between every term. Generally in Mathematics we call it n. Such difference may increase, (n>0) or decrease (n<0) the values in the sequence .

Take a look at this graph below, a linear function, whose Range behaves like an Arithmetic Sequence with difference n=1.

`f(x)=x+2`

x y

1 3

2 4

3 5

4 6