Answer: 61
Step-by-step explanation:
The nth term of an arithmetic sequence is calculated by :
[tex]t_{n}[/tex] = [tex]a + (n-1)d[/tex]
where :
a = first term = 5
d = common difference = 2
n = number of terms
There, the 30th term will be
[tex]t_{30}[/tex] = [tex]a + (30-1)d[/tex]
[tex]t_{30}[/tex] = [tex]a + 29d[/tex]
[tex]t_{30}[/tex] = 3 +29(2)
[tex]t_{30}[/tex] = 3 + 58
[tex]t_{30}[/tex] = 61
