{"status": "success", "data": {"description_md": "A geometric sequence has first term $1$ and third term $4$. What is the sum of all possible values of the $2024^\\text{th}$ term?\n\n$\\textbf{(A)}~0 \\qquad \\textbf{(B)}~2^{2025} \\qquad \\textbf{(C)}~2^{2024} \\qquad \\textbf{(D)}~-2^{2024} \\qquad \\textbf{(E)}~1$", "description_html": "<p>A geometric sequence has first term <span class=\"katex--inline\">1</span> and third term <span class=\"katex--inline\">4</span>. What is the sum of all possible values of the <span class=\"katex--inline\">2024^\\text{th}</span> term?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}~0 \\qquad \\textbf{(B)}~2^{2025} \\qquad \\textbf{(C)}~2^{2024} \\qquad \\textbf{(D)}~-2^{2024} \\qquad \\textbf{(E)}~1</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2024 Mock AMC 10 - Problem 4", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}