MathDB
Sum of 100 Consecutive Integers

Source:

January 18, 2009
arithmetic sequence

Problem Statement

Which one of the following integers can be expressed as the sum of 100 100 consecutive positive integers? <spanclass=latexbold>(A)</span> 1, ⁣627, ⁣384, ⁣950<spanclass=latexbold>(B)</span> 2, ⁣345, ⁣678, ⁣910<spanclass=latexbold>(C)</span> 3, ⁣579, ⁣111, ⁣300<spanclass=latexbold>(D)</span> 4, ⁣692, ⁣581, ⁣470<spanclass=latexbold>(E)</span> 5, ⁣815, ⁣937, ⁣260 <span class='latex-bold'>(A)</span>\ 1,\!627,\!384,\!950\qquad <span class='latex-bold'>(B)</span>\ 2,\!345,\!678,\!910\qquad <span class='latex-bold'>(C)</span>\ 3,\!579,\!111,\!300\qquad <span class='latex-bold'>(D)</span>\ 4,\!692,\!581,\!470\qquad <span class='latex-bold'>(E)</span>\ 5,\!815,\!937,\!260