{
  "icon" : "chart.line.uptrend.xyaxis",
  "id" : "804E0185-2CE7-565F-8A9B-806D7725E320",
  "lines" : [
    {
      "id" : "F7FF9256-D93D-536C-A89C-6CCDDB1C0416",
      "source" : "# Arithmetic sequences"
    },
    {
      "id" : "A682F42C-4E80-56EC-A2E9-19F63EE5C022",
      "source" : "\/\/ Add the same difference each step."
    },
    {
      "id" : "931FEA2E-719D-594A-AAFB-CE2682260590",
      "source" : "first term = 5"
    },
    {
      "id" : "78102E2D-8C10-5DBB-A33E-5E96125AF4F8",
      "source" : "difference = 3 in -5 … 10"
    },
    {
      "id" : "2176A4CB-5051-5BAB-8F1C-20C032B7D339",
      "source" : "n = 10 in 1 … 30"
    },
    {
      "id" : "A52C14DB-B640-56F6-999C-34BBDAE709E8",
      "source" : "nth term = first term + (n - 1)*difference"
    },
    {
      "id" : "2D63BA26-7845-5023-8260-86F12FBBB77B",
      "source" : "arithmetic sum = n*(first term + nth term)\/2"
    },
    {
      "id" : "1D3522B8-302E-594F-BEEA-EA356B30D58C",
      "source" : "arithmetic sum == sum(first term + (k - 1)*difference, k, 1, n)"
    },
    {
      "id" : "00885471-0595-5526-BF24-1617BBD160C0",
      "source" : ""
    },
    {
      "id" : "286D6CC3-DE3F-501E-B18C-54971E50EAA2",
      "source" : "# Geometric sequences"
    },
    {
      "id" : "A735914B-1032-53AF-8DA0-47F0C18A8B1A",
      "source" : "\/\/ Multiply by the same ratio each step."
    },
    {
      "id" : "E6FD25A1-A1B9-58A5-AE57-87EF3CF32545",
      "source" : "start = 2"
    },
    {
      "id" : "DEDD5820-B7AD-5B60-84F4-A934DC0E2765",
      "source" : "ratio = 3 in 1.5 … 4"
    },
    {
      "id" : "65B43B14-0403-50FB-86C6-A8950065F9DB",
      "source" : "terms = 6"
    },
    {
      "id" : "508B1DEE-2BA1-5979-BA3A-5C6FC79092EF",
      "source" : "last term = start*ratio^(terms - 1)"
    },
    {
      "id" : "4E29203E-1209-50E1-80BA-D4E3C46EBBE5",
      "source" : "geometric sum = start*(ratio^terms - 1)\/(ratio - 1)"
    },
    {
      "id" : "C51D200D-4CF7-5C1E-99C3-7EB8935B2D8A",
      "source" : "geometric sum == sum(start*ratio^(k - 1), k, 1, terms)"
    },
    {
      "id" : "E4E46CBE-57E1-5709-A142-E83DB6F61032",
      "source" : ""
    },
    {
      "id" : "3CD6AF2F-71A9-574E-804C-ECAD5388746C",
      "source" : "# Saving every month"
    },
    {
      "id" : "4259D4A3-E644-5424-B622-EF6BE2D7DF8B",
      "source" : "\/\/ Example: $200 deposited at the end of each month, compounded monthly."
    },
    {
      "id" : "C289494D-AF16-5579-9F24-F87327A31BF3",
      "source" : "monthly deposit = $200"
    },
    {
      "id" : "ABF8B5CA-42DB-5ED6-A05F-C9F077E2C7F3",
      "source" : "annual rate = 6 in 0.5 … 12"
    },
    {
      "id" : "8159FAF9-D75F-56AD-B48A-B6AF01A9BB3D",
      "source" : "months = 36"
    },
    {
      "id" : "7BD2E2DC-DF6B-534E-B384-8F42CDD87F16",
      "source" : "period rate = annual rate%\/12"
    },
    {
      "id" : "5F062B66-728F-5ABA-8BBC-F19794B7D6F1",
      "source" : "future value = monthly deposit*((1 + period rate)^months - 1)\/period rate"
    },
    {
      "id" : "08DB430D-B407-5CF1-B872-AEFCD1C11FA9",
      "source" : "deposited = monthly deposit*months"
    },
    {
      "id" : "8B0639ED-6182-5695-883F-818A97424E95",
      "source" : "interest earned = future value - deposited"
    }
  ],
  "numberStyle" : {
    "decimal" : ".",
    "grouping" : ",",
    "secondaryGroupSize" : 3
  },
  "title" : "Sequences and growth"
}