MathDB
a{n} a{n + 3} = a{n + 2} a{n + 5}

Source: 0

April 28, 2009

Problem Statement

(a_n)_{n \equal{} 1}^\infty is defined on real numbers with a_n \not \equal{} 0, a_na_{n \plus{} 3} \equal{} a_{n \plus{} 2}a_{n \plus{} 5} and a_1a_2 \plus{} a_3a_4 \plus{} a_5a_6 \equal{} 6. So a_1a_2 \plus{} a_3a_4 \plus{} \cdots \plus{}a_{41}a_{42} \equal{} ?
<spanclass=latexbold>(A)</span> 21<spanclass=latexbold>(B)</span> 42<spanclass=latexbold>(C)</span> 63<spanclass=latexbold>(D)</span> 882<spanclass=latexbold>(E)</span> None<span class='latex-bold'>(A)</span>\ 21 \qquad<span class='latex-bold'>(B)</span>\ 42 \qquad<span class='latex-bold'>(C)</span>\ 63 \qquad<span class='latex-bold'>(D)</span>\ 882 \qquad<span class='latex-bold'>(E)</span>\ \text{None}