Answer:
[tex]\Huge \boxed{a_4=2}[/tex]
Step-by-step explanation:
The third term in an arithmetic sequence is 7.
The common difference is -5.
The common difference of an arithmetic sequence is found by subtracting a term in the sequence with the previous term.
[tex]d=a_4-a_3[/tex]
Solving for the fourth term.
[tex]a_4 = a_3 + d[/tex]
Plugging in the values and evaluating.
[tex]a_4=7+-5[/tex]
[tex]a_4=2[/tex]
The value of the fourth term is 2.
