Answer: 213
Step-by-step explanation:
Given :
[tex]3 , 9 , 15 , ...[/tex]
The difference between the first term and the second term is 6 and the difference between the third term and the second term is 6 , this means that the sequence is an Arithmetic sequence.
The formula for calculating the nth term of an arithmetic sequence is given as :
[tex]t_{n}[/tex] = [tex]a + (n-1)d[/tex]
where :
a = first term
n = number of terms
d = common difference
Therefore , the 36th term will be :
[tex]t_{36}[/tex] = [tex]3 + (36-1)(6)[/tex]
[tex]t_{36}[/tex] = [tex]3 + 35(6)[/tex]
[tex]t_{36}[/tex] = [tex]3 + 210[/tex]
[tex]t_{36}[/tex] = [tex]213[/tex]
Therefore : the 36th term = 213
