Question 473604
For the first three problems, you could use algebra (e.g. (x + (x+2))/2 = 89) but since the integers are consecutive, they should be centered around 89, and without much guess and check we can obtain {88, 90} as our numbers. Hence, with the next two problems, {42, 44, 46, 48} and {36, 37, 38} satisfy (note that the median in all three of these cases is the average).


The next letter in that sequence is T, because each letter is the first letter of a number from 1 to 10.