Question

Consider the linear equation $y=2x+5.$ For consecutive interger values of $x,$ can it be used to form an arithmetic sequence? Answer in Yes/No.

Answer 1

The linear equation is $y=2x+5.$
Substitute $x=1,2,3$
$\Rightarrow y=2\left(1\right)+5,2\left(2\right)+5,2\left(3\right)+5$
$\Rightarrow y=7,9,11$
The difference between two consecutive terms is $2.$
$\therefore$ It is an arithmetic sequence.