Respuesta :
Answer:
45
Step-by-step explanation:
every term in the sequence is 3 more than the last, so:
12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45
1 2 3 4 5 6 7 8 9 10 11 12
45 is the 12th term
Answer:
Option b - 45
Step-by-step explanation:
Given : Sequence 12,15,18,21,...
To find : What is the 12th term in the sequence?
Solution :
Sequence 12,15,18,21,... is an arithmetic progression.
Where, first term is a=12
Common difference is d=15-12=3
The nth term of the sequence is
[tex]a_n=a+(n-1)d[/tex]
The 12th term is
[tex]a_{12}=12+(12-1)(3)[/tex]
[tex]a_{12}=12+(11)(3)[/tex]
[tex]a_{12}=12+33[/tex]
[tex]a_{12}=45[/tex]
Therefore, The 12th term of the sequence is 45.
So, Option b is correct.
