Meaning of Arithmetic Progression


 
 
Concept Explanation
 

Meaning of Arithmetic Progression

An arithmetic progression is a sequence of terms such that the difference between any term and the one immediately preceding it is a constant. This difference is called common difference.

For example:

  • 3,7,11,15,19,... ;Common difference 4
  • 7,5,3,1,-1,.... ;Common difference -2
  • 2,1.5,1,0.5,0,-0.5,.... ;Common difference -0.5
  • Sample Questions
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    Question : 1

    Identify which of the following is an AP?

    Right Option : B
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    Explanation
    Question : 2

    Which of the following pairs represents the first term 'a' and common difference 'd' of AP : - 20, -14 , -8 , -2 , 4 ?

    Right Option : B
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    Explanation
    Question : 3

    Which of the following pair represents the first term 'a' and common difference 'd' of AP :  1.5 , 0.7 , 2.9 , 5.1 , 7.3 , 9.5 ?

    Right Option : D
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    Explanation
     
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