Sequences and series

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  • Sequences and series
    • Arithmetic sequences
      • find the next term by adding a common difference
      • to find a term:
        • a1 + (n-1)d
    • the sum to n terms:
      • n/2 (2a+(n-1)d)
    • Geometric sequences
      • find the next term by multiplying by a common ratio
      • nth term:
        • ar^n-1
      • sum of the series:
        • a(1-r^n/1-r)
      • sum to infinity:
        • a/(1-r)
    • Bionomial expansion
  • a = first term   d = common difference      r = common ratio


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