Directions (48-52): What will come in place of question mark (?) in the following questions.

17, 28, 50, 83, 127, 182, ?

The correct answer is 248.

To find the missing term in the sequence, let us analyze the pattern by calculating the differences between consecutive terms.

First, calculate the first level of differences between adjacent numbers:

28 - 17 = 11

50 - 28 = 22

83 - 50 = 33

127 - 83 = 44

182 - 127 = 55

Notice the sequence of differences:

11, 22, 33, 44, 55

This is an arithmetic sequence where each consecutive difference increases by 11 (or multiples of 11):

11 = 11 × 1

22 = 11 × 2

33 = 11 × 3

44 = 11 × 4

55 = 11 × 5

Following this pattern, the next difference to add to the last term (182) should be:

11 × 6 = 66

Now, add 66 to the last term (182) to get the missing number (?):

182 + 66 = 248

Therefore, the number that will come in place of the question mark (?) is 248.