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Rajan@2021
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Find the value of p for which the numbers 2p-1, 3p+1, 11 are in AP. Hence, find the numbers.

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We have given a series of AP 2p-1, 3p+1, 11 and we asked to find the value of p for which given series form in AP and also asked to find the numbers.

Book – RS AGGARWAL

class 10, Arithmetic Progression, chapter 5A,  question no 4

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1 Answer

  1. If the numbers a,b and c are in AP, then
    b-a=c-b
    2b=a+c
    The given three numbers (2p-1),(3p+1) and 11 are in AP.
    Then,
    2(3p+1)=(2p1)+11
    6p+2=2p1+11
    6p+2=2p+10
    6p2p=102
    4p=8
    p=8/4
    p=2
    So, the value of p is 2.
    Then, the given numbers be
    2×21,3×2+1,11
    41,6+1,11
    3,7,11

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