Subject

    Quantitative Aptitude

    Topic

    Number

    Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + ....

    ক)
    30,400
    খ)
    30,200
    গ)
    34,600
    ঘ)
    38,400

    Explanation

    we can treat every two consecutive terms as one. So, we will have a total of 100 terms of the nature: (2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,.... We know the sum of n terms n(n+1)2\frac{n\left(n+1\right)}2 Now, a= 7, d=6 and n=100 Hence the sum of the given series is S= 100/2 x[2 x 7 + 99 x 6] => 50[608] => 30,400.

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