Find the missing term in the series given below:12, 20, 33, 51, ?, 102Question 4Answera.74b.78c.69d.82

To find the missing term in the series, we need to identify the pattern or rule that the series follows.

The series is: 12, 20, 33, 51, ?, 102

Let's find the differences between consecutive terms:

20 - 12 = 8 33 - 20 = 13 51 - 33 = 18

The differences are not constant, so it's not an arithmetic sequence. However, the differences between the differences are:

13 - 8 = 5 18 - 13 = 5

So, the second differences are constant, which means the sequence is a second-order sequence, and the common difference is 5.

Therefore, the next difference should be 18 + 5 = 23.

So, the missing term should be 51 (the last given term) + 23 (the next difference) = 74.

So, the answer is a.74.