Question 473604: The average of two consecutive even numbers is 89. What are the two numbers?
The average of four consecutive even numbers is 45. What are the numbers?
The average of three consecutive numbers is 37. What is the biggest of the three?
Find the next letter and explain why you chose it: O, T,T,F,F,S,S,E,N,__
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! 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.
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