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    "url": "https://numbas.mathcentre.ac.uk/api/questions/11902/?format=api",
    "name": "Find point when a sequence becomes strictly decreasing",
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    "author": {
        "url": "https://numbas.mathcentre.ac.uk/api/users/697/?format=api",
        "profile": "https://numbas.mathcentre.ac.uk/accounts/profile/697/?format=api",
        "full_name": "Newcastle University Mathematics and Statistics",
        "pk": 697,
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    "source": "https://numbas.mathcentre.ac.uk/question/11902/find-point-when-a-sequence-becomes-strictly-decrea.exam?format=api",
    "metadata": {
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        "licence": "Creative Commons Attribution 4.0 International",
        "description": "<p>$x_n=n^k t^n$ where $k$ is a positive integer and $t$ a real number with $0 &lt; t&lt;1$.&nbsp;Find the smallest integer $N$ such that $(m+1)^k t^{m+1} \\leq m^k t^m$ for all $m \\geq N$.&nbsp;</p>"
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