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  "body": "\n## Definition\n\nA real sequence is a [[sequence|0QE8STGJH2]] in the set $\\mathbb{R}$ of real numbers.\nThus it is a function $a \\colon \\mathbb{N} \\to \\mathbb{R}$, and each term $a_n$ is a real number.\n\n## Remarks\n\nExamples are $a_n = 1/(n + 1)$, $a_n = (-1)^n$ and $a_n = 2^n$.\nThe real sequences form a real vector space under the termwise operations $(a_n) + (b_n) = (a_n + b_n)$ and $c\\,(a_n) = (c\\,a_n)$.\nThe [[limit of a sequence|0XKWSSY8P2]] is defined first for real sequences in most courses.\n\n## Explanations\n\n### L1 human\n\nA real sequence is an endless list of real numbers $a_0, a_1, a_2, \\dots$.\nYou can draw it as points $(n, a_n)$ in the plane, one point for each natural number $n$.\n",
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