Determine the next term in the sequence: 3, 6, 9, …

12
15
18
27

Option (A)  

The next term in the sequence 3, 6, 9, …  is 12

Solution:

Given sequence is 3, 6, 9,…

Let say first term

Second term

And third term

Now let’s determine the common difference ‘d’ that is

Since

so given series is arithmetic progressions. We need next term that is

Formula of nth term of AP is as follows,

So fourth term is when n = 4,

So next term of given sequence is 12. Hence option (A) is correct.