MathDB
Sequence Mean

Source: AMC 12 2008B Problem 12

February 29, 2008
AMC

Problem Statement

For each positive integer n n, the mean of the first n n terms of a sequence is n n. What is the 2008 2008th term of the sequence? <spanclass=latexbold>(A)</span> 2008<spanclass=latexbold>(B)</span> 4015<spanclass=latexbold>(C)</span> 4016<spanclass=latexbold>(D)</span> 4,030,056<spanclass=latexbold>(E)</span> 4,032,064 <span class='latex-bold'>(A)</span>\ 2008 \qquad <span class='latex-bold'>(B)</span>\ 4015 \qquad <span class='latex-bold'>(C)</span>\ 4016 \qquad <span class='latex-bold'>(D)</span>\ 4,030,056 \qquad <span class='latex-bold'>(E)</span>\ 4,032,064