{"status": "success", "data": {"description_md": "The second and fourth terms of a geometric sequence are $2$ and $6$. Which of the following is a possible first term?\n\n$\\textbf{(A) } -\\sqrt{3}  \\qquad\\textbf{(B) } -\\frac{2\\sqrt{3}}{3} \\qquad\\textbf{(C) } -\\frac{\\sqrt{3}}{3} \\qquad\\textbf{(D) } \\sqrt{3} \\qquad\\textbf{(E) } 3$", "description_html": "<p>The second and fourth terms of a geometric sequence are  <span class=\"katex--inline\">2</span>  and  <span class=\"katex--inline\">6</span> . Which of the following is a possible first term?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } -\\sqrt{3}  \\qquad\\textbf{(B) } -\\frac{2\\sqrt{3}}{3} \\qquad\\textbf{(C) } -\\frac{\\sqrt{3}}{3} \\qquad\\textbf{(D) } \\sqrt{3} \\qquad\\textbf{(E) } 3</span> </p>\n<hr><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>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2003 AMC 10B Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10B_p09", "prev": "/problem/03_amc10B_p07"}}