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Deepak Bora
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The 8th term of an AP is 37 and its 12th term is 57. Find the AP.

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This is the Important question based on Arithmetic progression Chapter of R.S Aggarwal book for ICSE & CBSE
Board.
Here the 2 terms of AP is given. you have to find the first term, common difference and AP
This is the Question Number 15 Exercise 11 A of RS Aggarwal Solution.

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  1. Given a8 = 37
    a12 = 57
    a+7d = 37 ( 1 equation )
    a+11d = 57 (2 equation )
    now 2-1
    4d = 20
    d = 5
    putting value of d in 1 equation
    a+7*5 = 37
    a= 37-35 = 2
    thus a.p will be 2,7,12,17,22,27….

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