# Problem #1074

 1074 The first four terms in an arithmetic sequence are $x + y, x - y, xy,$ and $x/y,$ in that order. What is the fifth term? $\textbf{(A) } -\frac{15}{8} \qquad\textbf{(B) } -\frac{6}{5} \qquad\textbf{(C) } 0 \qquad\textbf{(D) } \frac{27}{20} \qquad\textbf{(E) } \frac{123}{40}$ This problem is copyrighted by the American Mathematics Competitions.
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• Reduce fractions to lowest terms and enter in the form 7/9.
• Numbers involving pi should be written as 7pi or 7pi/3 as appropriate.
• Square roots should be written as sqrt(3), 5sqrt(5), sqrt(3)/2, or 7sqrt(2)/3 as appropriate.
• Exponents should be entered in the form 10^10.
• If the problem is multiple choice, enter the appropriate (capital) letter.
• Enter points with parentheses, like so: (4,5)
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