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Question

What are AP and HP?


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Solution

Step-1 Arithmetic Progression (AP):

  • Arithmetic progression is a sequence of numbers in which the difference between any two consecutive numbers is a constant value.
  • The constant value is called a common difference.
  • The general form of an AP: a,a+d,a+2d,a+3d,....., where a is the first term and d is a common difference.

Step-2 Harmonic Progression (HP):

  • A harmonic progression is a sequence of real numbers which is determined by taking the reciprocals of the arithmetic progression that does not contain 0.
  • The general form of HP: 1a,1a+d,1a+2d,1a+3d,....

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