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GMAT Practice Question-What is the value of A6?

Discussion in 'CAT/MAT/GMAT Preparation' started by Royaluni, Sep 10, 2015.

  1. Royaluni

    Royaluni Administrator

    Qt. The sequence a1,a2,a3,……,a,… is such that An= An-1 + An-2 / 2 for all n ≥ 3. If A3= 4 and A5= 20, what is the value of A6 ?

    A. 12

    B. 16

    C. 20

    D. 24

    E. 28

    Answer- so this is sequence question where we have the formulas to calculate the value of a number in sequence. By looking at formula, you can determine that it is important to find out the values of two prior numbers in the sequence to find out the value of any term in this. i.e. we need to find out An-1 & An-2 in order to find An,

    Thus to find out the value of A6, we need to find values of A5 & A4 .

    If we substitute An= A5 in An-1 & An-2, we get A4 & A3 .

    We have been given A5= 20 in the question and we need to find out the value of A6, so let’s begin;

    gmat practice question.jpg

    Source-gmat official guide 2016
    Last edited: Sep 11, 2015

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