{"status": "success", "data": {"description_md": "Rafaello's tree grows according to the following rule. After a branch has been growing for two weeks, it produces a new branch every week, while the original branch continues to grow. The tree has five branches after five weeks, as shown. How many branches, including the main branch, will the tree have at the end of eight weeks?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2004/crops/04_pascal_p19_fig.png\" alt=\"figure\" width=\"196\"></center>\n\n$\\text{(A)}\\ 21\\qquad\\text{(B)}\\ 40\\qquad\\text{(C)}\\ 19\\qquad\\text{(D)}\\ 13\\qquad\\text{(E)}\\ 34$\n\n___\n\n**[Pascal](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>Rafaello's tree grows according to the following rule. After a branch has been growing for two weeks, it produces a new branch every week, while the original branch continues to grow. The tree has five branches after five weeks, as shown. How many branches, including the main branch, will the tree have at the end of eight weeks?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2004/crops/04_pascal_p19_fig.png\" alt=\"figure\" width=\"196\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 21\\qquad\\text{(B)}\\ 40\\qquad\\text{(C)}\\ 19\\qquad\\text{(D)}\\ 13\\qquad\\text{(E)}\\ 34</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Pascal</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2004 Pascal Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/04_pascal_p20", "prev": "/problem/04_pascal_p18"}}