Answer:
first four terms are 2, 7, 12, 17
Step-by-step explanation:
use this formula: [tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)· d
where 'n' equals the position in the sequence the term is in and 'd' is the common difference
if [tex]a_{1}[/tex] = 2 and d = 5 are given, plug those into formula
[tex]a_{1}[/tex] = 2
[tex]a_{2}[/tex] = 2 + (2 - 1)·5 = 2+5 = 7
[tex]a_{3}[/tex] = 2 + (3 - 1)·5 = 2+2(5) = 12
[tex]a_{4}[/tex] = 2+(4 - 1)·5 = 2+3(5) = 17