JEE Main & Advanced Mathematics Sequence & Series Question Bank Arithmetic Progression

  • question_answer
    If \[2x,\ x+8,\ 3x+1\] are in A.P., then the value of \[x\] will be  [MP PET 1984]

    A) 3

    B) 7

    C) 5

    D) - 2

    Correct Answer: C

    Solution :

    \[2x,\ x+8,\ 3x+1\] are in A.P. Therefore \[(x+8)=\frac{(2x)+(3x+1)}{2}=\frac{5x+1}{2}\] \[\Rightarrow \] \[2x+16=5x+1\]   \[\Rightarrow \] \[3x=15\] \[\Rightarrow \] \[x=5\].


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