{"status": "success", "data": {"description_md": "Suppose that $\\{a_n\\}$ is an arithmetic sequence with\n$$a_1+a_2+\\cdots+a_{100}=100 \\text{ and } a_{101}+a_{102}+\\cdots+a_{200}=200.$$\nWhat is the value of $a_2 - a_1 ?$\n\n$\\mathrm{(A) \\ } 0.0001\\qquad \\mathrm{(B) \\ } 0.001\\qquad \\mathrm{(C) \\ } 0.01\\qquad \\mathrm{(D) \\ } 0.1\\qquad \\mathrm{(E) \\ } 1$", "description_html": "<p>Suppose that  <span class=\"katex--inline\">\\{a_n\\}</span>  is an arithmetic sequence with<br/>\n <span class=\"katex--display\">a_1+a_2+\\cdots+a_{100}=100 \\text{ and } a_{101}+a_{102}+\\cdots+a_{200}=200.</span> <br/>\nWhat is the value of  <span class=\"katex--inline\">a_2 - a_1 ?</span> </p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 0.0001\\qquad \\mathrm{(B) \\ } 0.001\\qquad \\mathrm{(C) \\ } 0.01\\qquad \\mathrm{(D) \\ } 0.1\\qquad \\mathrm{(E) \\ } 1</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": 3, "problem_name": "2002 AMC 10B Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10B_p20", "prev": "/problem/02_amc10B_p18"}}