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SOURCE:COMPETITION Number of Problems: 5. FOR PRINT ::: (Book)
For each positive integer , the mean of the first terms of a sequence is . What is the 2008th term of the sequence?
Since the mean of the first terms is , the sum of the first terms is . Thus, the sum of the first terms is and the sum of the first terms is . Hence, the 2008th term is
Note that is the sum of the first n odd numbers.