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    Mathematics
    Algebra
    Easy

    Question

    T h e space s u m stack space space sum with k equals 1 below and 20 on top k 1 over 2 to the power of k space i s space e q u a l space t o

    1. 2 minus 21 over 2 to the power of 20
    2. 1 minus 11 over 2 to the power of 20
    3. 2 minus 3 over 2 to the power of 17
    4. 2 minus 11 over 2 to the power of 19

    The correct answer is: 2 minus 11 over 2 to the power of 19

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    text  Some identical balls are arranged in rows to form an equilateral triangle. The first row consists of one ball,  end text text  the second row consists of two balls and so on. If 99  more identical balls are added to the total number of  end text text  balls used in forming the equilateral triangle, then all these balls can be arranged in a square whose each side  end text text  contains exactly  end text 2 text  balls less than the number of balls each side of the triangle contains. Then the number of  end text text  balls used to form the equilateral triangle is:  end text

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