MathDB
Consecutive Integers

Source:

January 9, 2009
induction

Problem Statement

The sum of 5 consecutive even integers is 4 4 less than the sum of the first 8 8 consecutive odd counting numbers. What is the smallest of the even integers? <spanclass=latexbold>(A)</span> 6<spanclass=latexbold>(B)</span> 8<spanclass=latexbold>(C)</span> 10<spanclass=latexbold>(D)</span> 12<spanclass=latexbold>(E)</span> 14 <span class='latex-bold'>(A)</span>\ 6 \qquad <span class='latex-bold'>(B)</span>\ 8 \qquad <span class='latex-bold'>(C)</span>\ 10 \qquad <span class='latex-bold'>(D)</span>\ 12 \qquad <span class='latex-bold'>(E)</span>\ 14