What value should replace the question mark (?) in the given series?

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

The correct answer is 248.

To determine the value that replaces the question mark (?), we can examine the pattern in the differences between consecutive terms in the series: 17, 28, 50, 83, 127, 182, ?

Let us calculate the difference between each pair of consecutive terms:
$28-17=11$
$50-28=22$
$83-50=33$
$127-83=44$
$182-127=55$

By observing the sequence of differences (11, 22, 33, 44, 55), we notice that the differences are increasing by 11 at each step (consecutive multiples of 11).

Following this pattern, the next difference in the sequence should be:
$55+11=66$
Adding this difference of 66 to the last term of the series (182) gives:
$182+66=248$
Therefore, the value that replaces the question mark (?) is 248.