{
  "tag": "D3C8ZM",
  "kind": "concept",
  "slug": "geometric-series",
  "name": "Geometric series",
  "aliases": [
    "geometric progression sum"
  ],
  "area": "foundations/asymptotic-analysis",
  "level": "intro",
  "summary": "The sum of a geometric progression, which for a constant positive ratio other than one is within a constant factor of its largest term.",
  "prereqs": [
    "asymptotic-notation"
  ],
  "sources": [
    {
      "book": "isbn:9780262046305",
      "title": "Cormen, Leiserson, Rivest and Stein, Introduction to Algorithms, fourth edition",
      "locator": "Appendix A, Summations; Section 6.3 for the heap bound"
    },
    {
      "book": "isbn:9780201558029",
      "title": "Graham, Knuth and Patashnik, Concrete Mathematics, second edition",
      "locator": "Chapter 2, Sums"
    },
    {
      "book": "isbn:9780201896831",
      "title": "Donald E. Knuth, The Art of Computer Programming, Volume 1, third edition",
      "locator": "Section 1.2.3, Sums and products"
    }
  ],
  "see_also": [
    "arithmetic-series",
    "harmonic-series",
    "dynamic-array",
    "master-theorem",
    "binary-heap",
    "heapsort"
  ],
  "url": "https://algorithm.tamnd.com/geometric-series/",
  "path": "nodes/foundations/asymptotic-analysis/geometric-series",
  "status": {
    "slug": "geometric-series",
    "h": {
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      "max": 3,
      "label": "H0",
      "name": "no proof",
      "next": [
        "add a proof in proofs/ (06.5)"
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      "max": 4,
      "label": "L0",
      "name": "no Lean part",
      "next": [
        "name a Lean module in the lean field (07)"
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    "i": {},
    "v": {
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      "next": [
        "add viz/scene.ts or a figure (10)"
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    "w": {
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      "max": 5,
      "label": "W4",
      "name": "complete",
      "next": [
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  "scene": false
}