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

  • question_answer
    If the numbers \[a,\ b,\ c,\ d,\ e\] form an A.P., then the value of \[a-4b+6c-4d+e\] is

    A) 1

    B) 2

    C) 0

    D) None of these

    Correct Answer: C

    Solution :

    Let \[D\] be the common difference of the A.P. Then,  \[a-4b+6c-4d+e=\] \[a-4(a+D)+6(a+2D)-4(a+3D)+(a+4D)=0\].


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