MathDB
Arithmetic Sequence

Source:

February 27, 2008
arithmetic sequence

Problem Statement

Suppose that {an} \{a_n\} is an arithmetic sequence with a_1 \plus{} a_2 \plus{} \cdots \plus{} a_{100} \equal{} 100 \text{and}  a_{101} \plus{} a_{102} \plus{} \cdots \plus{} a_{200} \equal{} 200. What is the value of a_2 \minus{} a_1?
<spanclass=latexbold>(A)</span> 0.0001<spanclass=latexbold>(B)</span> 0.001<spanclass=latexbold>(C)</span> 0.01<spanclass=latexbold>(D)</span> 0.1<spanclass=latexbold>(E)</span> 1 <span class='latex-bold'>(A)</span>\ 0.0001 \qquad <span class='latex-bold'>(B)</span>\ 0.001 \qquad <span class='latex-bold'>(C)</span>\ 0.01 \qquad <span class='latex-bold'>(D)</span>\ 0.1 \qquad <span class='latex-bold'>(E)</span>\ 1