Question

What is the 12th term in the sequence?

12, 15, 18, 21, ...
a) 38
b) 45
c) 42
d) 48

Answer 1

45

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 2

Option b - 45

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

`a_n=a+(n-1)d`

The 12th term is

`a_(12)=12+(12-1)(3)`

`a_(12)=12+(11)(3)`

`a_(12)=12+33`

`a_(12)=45`

Therefore, The 12th term of the sequence is 45.

So, Option b is correct.