Given sequence is 3, 6, 11, 18, 27
The given sequence is not arithmetic or geometric as it does not have a common difference or ratio. Therefore, we have to evaluate it using a different way.
Let's say
6 - 3 = 3
11 - 6 = 5
18 - 11 = 7
27 - 18 = 9
That means we are adding odd terms to the last digit to get the next one. For example, we added 9 to 18 to get the fifth term. Next time, the odd number will be increased and added to 27 to get the 6th term. For example,
6th term = 27 + 11 = 38
The general formula would be
Nth term = (N-1)th term + (2n - 1)
Similalrly,
7th term = 6th term + (2(7) - 1)
7th term = 38 + 13
7th term = 51
Using the above formula, we can calculate the other terms
8th term = 51 + 15 = 66
9th term = 66 + 17 = 83
10th term = 83 + 19 = 102
11th term = 102 + 21 = 123
and
12th term = 123 + 23 = 146
Therefore, the 12th term in this sequence would be 146.