{"status": "success", "data": {"description_md": "The fifth and eighth terms of a geometric sequence of real numbers are $7!$ and $8!$ respectively. What is the first term?\n\n$\\textbf{(A)}\\ 60\\qquad \\textbf{(B)}\\ 75\\qquad \\textbf{(C)}\\ 120\\qquad \\textbf{(D)}\\ 225\\qquad \\textbf{(E)}\\ 315$\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 fifth and eighth terms of a geometric sequence of real numbers are  <span class=\"katex--inline\">7!</span>  and  <span class=\"katex--inline\">8!</span>  respectively. What is the first term?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 60\\qquad \\textbf{(B)}\\ 75\\qquad \\textbf{(C)}\\ 120\\qquad \\textbf{(D)}\\ 225\\qquad \\textbf{(E)}\\ 315</span> </p>&#10;<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": 3, "problem_name": "2009 AMC 12B Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc12B_p13", "prev": "/problem/09_amc12B_p11"}}