Answer: 32
Step-by-step explanation:
The sequence is an arithmetic sequence because there is a common difference , which is 2.
The formula for finding nth term of an arithmetic sequence is given as :
[tex]t_{n}[/tex] = [tex]a + (n-1)d[/tex]
where :
a = first term
d = common difference
n = number of terms
Therefore : the 20th term will be :
[tex]t_{20}[/tex] = [tex]a + (20-1)d[/tex]
[tex]t_{20}[/tex] = [tex]a + 19d[/tex]
[tex]t_{20}[/tex] = - 6 + 19(2)
[tex]t_{20}[/tex] = -6 + 38
[tex]t_{20}[/tex] = 32
