Final answer:
The sequence given increases by 8 each time. Following this pattern, the number closest to 100 without surpassing it is 94, as adding another 8 would exceed 100.
Step-by-step explanation:
The student's question involves finding the number in a sequence that is closest to 100.
This sequence increases by 8 each time, starting from 14 (i.e., 14, 22, 30, 38,...).
To find which number will be closest to 100, we will continue the sequence, adding 8 each time until we get a number that is close to 100 without exceeding it.
Following the pattern, after 38, the next numbers are 46, 54, 62, 70, 78, 86, 94, and then 102.
However, since we're looking for the number closest to 100 without going over, 94 is the number in the sequence that is closest to 100.