I see that the pattern is the word MATHLETE repeated over and over again. Each word has 8 letters, so I can divide 2010 by 8 to see how many full words there are and what the remainder is. 2010 divided by 8 is 251 with a remainder of 2. This means that there are 251 complete words in the first 2008 positions, and then the 2009th position is the first letter of the next word, which is M, and the 2010th position is the second letter of the next word, which is A. So the letter in the 2010th position is A. 
If the pattern shown continues, what is the letter in the $2010$th position? MATHLETEMATHLETEMATHLETE...