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"url": "https://numbas.mathcentre.ac.uk/api/questions/11777/?format=api",
"name": "When is a sequence within d of its limit?",
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"full_name": "Newcastle University Mathematics and Statistics",
"pk": 697,
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"notes": "<p><strong>4/07/2012:</strong></p>\n <p>Checked calculations.</p>\n <p>Small changes to Advice display.</p>\n <p>Left inequalities as $\\lt$.</p>\n <p><strong>21/07/2012:</strong></p>\n <p>Added description.</p>\n <p>Added function chcop(a, b) to create coprime pairs - better display of solution.</p>\n <p>This finds an integer coprime to a in the range 1..20. b is set to a random value in the range.</p>\n <p>Changed definition of variables a, b, c, d.</p>\n <p> <strong>27/7/2012:</strong></p>\n <p>Added tags.</p>\n <p>Question appears to be working correctly.</p>\n <p><strong>24/12/2012:</strong></p>\n <p>Changed $\\lt$ to $\\le$ and $\\gt$ t $\\ge$ throughout in order to be consistent with question 2 in this assignment. Added query tag to check on this.</p>\n <p>Checked calculations, OK. Added tested1 tag.</p>\n <p>Added more information about the function chcop. Added udf tag.</p>\n <p> </p>",
"licence": "Creative Commons Attribution 4.0 International",
"description": "<p>$x_n=\\frac{an+b}{cn+d}$. Find the least integer $N$ such that $\\left|x_n -\\frac{a}{c}\\right| \\le 10 ^{-r},\\;n\\geq N$, $2\\leq r \\leq 6$.</p>"
},
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}
