Progression and Series

IIT-JEE · Class 11 · Mathematics

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What’s covered

  • topics
    • Arithmetic Progression
      • properties of terms of an A.P.
      • arithmetic mean
    • Sum of an A.P.
      • sum of n terms
      • sum of arithmetic means inserted between two numbers
    • Geometric Progression
      • increasing and decreasing G.P.
      • properties of terms of a G.P.
      • geometric mean
      • relation between arithmetic mean and geometric mean
    • Sum of a G.P.
      • sum of n terms
      • sum of infinite terms
    • Harmonic Progression
      • harmonic mean
      • relation between A.M. G.M. and H.M. of two positive numbers
    • Arithmetico-Geometric Progression
      • sum of n terms of an A.G.P.
      • sum of infinite terms of an A.G.P.
    • Sigma Notation
      • properties of sigma notation
      • sum of squares of first n natural numbers
      • sum of cubes of first n natural numbers
      • sum of series when differences of consecutive terms form an A.P. or G.P.
      • sigma notation for independent variables
      • sigma notation for dependent variables
    • Special Series
      • sum of a series by the cancellation method
    • Means of Two Positive Numbers
      • simple means of two positive numbers
    • Means of n Positive Numbers
      • AM-GM inequality
      • GM-HM inequality
    • Weighted Means
      • definition and applications
    • Means of mth Power
      • definition and applications