{"status": "success", "data": {"description_md": "Let  $L_1 = 1$, $L_2 = 3$, and $L_{n+2} = L_{n+1}+L_n$ for $n \\geq 1$. How many terms in the sequence $L_1, L_2, L_3, \\cdots, L_{2023}$ are even?\n\n$\\textbf{(A) }673\\qquad\\textbf{(B) }1011\\qquad\\textbf{(C) }675\\qquad\\textbf{(D) }1010\\qquad\\textbf{(E) }674$", "description_html": "<p>Let   <span class=\"katex--inline\">L_1 = 1</span> ,  <span class=\"katex--inline\">L_2 = 3</span> , and  <span class=\"katex--inline\">L_{n+2} = L_{n+1}+L_n</span>  for  <span class=\"katex--inline\">n \\geq 1</span> . How many terms in the sequence  <span class=\"katex--inline\">L_1, L_2, L_3, \\cdots, L_{2023}</span>  are even?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }673\\qquad\\textbf{(B) }1011\\qquad\\textbf{(C) }675\\qquad\\textbf{(D) }1010\\qquad\\textbf{(E) }674</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": "2023 AMC 10B Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc10B_p07", "prev": "/problem/23_amc10B_p05"}}