Answer:
option D is true.
Step-by-step explanation:
Given the sequence
7, 12, 17, 22, ...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
Computing the differences of all the adjacent terms
[tex]12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5[/tex]
The difference between all the adjacent terms is the same
so
[tex]d=5[/tex]
as
[tex]a_1=7[/tex]
Thus, the nth term of the arithmetic sequence will be:
[tex]a_n=5\left(n-1\right)+7[/tex]
[tex]a_n=5n+2[/tex]
Therefore, option D is true.
