{"status": "success", "data": {"description_md": "The first four terms in an arithmetic sequence are $x+y$, $x-y$, $xy$, and $\\frac{x}{y}$, in that order. What is the fifth term? \n\n$\\textbf{(A)}\\ -\\frac{15}{8}\\qquad\\textbf{(B)}\\ -\\frac{6}{5}\\qquad\\textbf{(C)}\\ 0\\qquad\\textbf{(D)}\\ \\frac{27}{20}\\qquad\\textbf{(E)}\\ \\frac{123}{40}$\n\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The first four terms in an arithmetic sequence are <span class=\"katex--inline\">x+y</span>, <span class=\"katex--inline\">x-y</span>, <span class=\"katex--inline\">xy</span>, and <span class=\"katex--inline\">\\frac{x}{y}</span>, in that order. What is the fifth term?</p>&#10;<p><span class=\"katex--inline\">\\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}</span></p>&#10;<hr/>&#10;<p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2003 AMC 10B Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10B_p25", "prev": "/problem/03_amc10B_p23"}}