{"status": "success", "data": {"description_md": "For what value of $n$ is $i + 2i^2 + 3i^3 + \\cdots + ni^n = 48 + 49i$?<br>Note: here $i = \\sqrt { - 1}$.\n\n$\\textbf{(A)}\\ 24 \\qquad \\textbf{(B)}\\ 48 \\qquad \\textbf{(C)}\\ 49 \\qquad \\textbf{(D)}\\ 97 \\qquad \\textbf{(E)}\\ 98$\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>For what value of  <span class=\"katex--inline\">n</span>  is  <span class=\"katex--inline\">i + 2i^2 + 3i^3 + \\cdots + ni^n = 48 + 49i</span> ?<br/>Note: here  <span class=\"katex--inline\">i = \\sqrt { - 1}</span> .</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 24 \\qquad \\textbf{(B)}\\ 48 \\qquad \\textbf{(C)}\\ 49 \\qquad \\textbf{(D)}\\ 97 \\qquad \\textbf{(E)}\\ 98</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 12A Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc12A_p16", "prev": "/problem/09_amc12A_p14"}}